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Finding the Fourth Proportional to 39,646.89, 54,780.71 and 38,227.77

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Solution

The fourth proportional to 39,646.89, 54,780.71 and 38,227.77 is: 52,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.89 : 54,780.71 = 38,227.77 : x
  2. Step 2: Convert to fraction form
    39,646.89/54,780.71 = 38,227.77/x
  3. Step 3: Cross multiply
    39,646.89x = 54,780.71 × 38,227.77
  4. Step 4: Simplify right side
    39,646.89x = 2,094,144,382.32
  5. Step 5: Solve for x
    x = 2,094,144,382.32/39,646.89
  6. Step 6: Final answer
    x = 52,819.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.