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Finding the Fourth Proportional to 82,328,019.20, 123,492,028.80 and 21,743,745.20

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Solution

The fourth proportional to 82,328,019.20, 123,492,028.80 and 21,743,745.20 is: 32,615,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,328,019.20 : 123,492,028.80 = 21,743,745.20 : x
  2. Step 2: Convert to fraction form
    82,328,019.20/123,492,028.80 = 21,743,745.20/x
  3. Step 3: Cross multiply
    82,328,019.20x = 123,492,028.80 × 21,743,745.20
  4. Step 4: Simplify right side
    82,328,019.20x = 2,685,179,208,458,261.50
  5. Step 5: Solve for x
    x = 2,685,179,208,458,261.50/82,328,019.20
  6. Step 6: Final answer
    x = 32,615,617.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.