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Finding the Fourth Proportional to 55,102.78, 82,605.66 and 21,846.19

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Solution

The fourth proportional to 55,102.78, 82,605.66 and 21,846.19 is: 32,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.78 : 82,605.66 = 21,846.19 : x
  2. Step 2: Convert to fraction form
    55,102.78/82,605.66 = 21,846.19/x
  3. Step 3: Cross multiply
    55,102.78x = 82,605.66 × 21,846.19
  4. Step 4: Simplify right side
    55,102.78x = 1,804,618,943.44
  5. Step 5: Solve for x
    x = 1,804,618,943.44/55,102.78
  6. Step 6: Final answer
    x = 32,750.05

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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.