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Finding the Fourth Proportional to 82,965.20, 124,447.80 and 27,561.20

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Solution

The fourth proportional to 82,965.20, 124,447.80 and 27,561.20 is: 41,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,965.20 : 124,447.80 = 27,561.20 : x
  2. Step 2: Convert to fraction form
    82,965.20/124,447.80 = 27,561.20/x
  3. Step 3: Cross multiply
    82,965.20x = 124,447.80 × 27,561.20
  4. Step 4: Simplify right side
    82,965.20x = 3,429,930,705.36
  5. Step 5: Solve for x
    x = 3,429,930,705.36/82,965.20
  6. Step 6: Final answer
    x = 41,341.80

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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.