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Finding the Fourth Proportional to 72,538.49, 108,742.11 and 25,780.43

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Solution

The fourth proportional to 72,538.49, 108,742.11 and 25,780.43 is: 38,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,538.49 : 108,742.11 = 25,780.43 : x
  2. Step 2: Convert to fraction form
    72,538.49/108,742.11 = 25,780.43/x
  3. Step 3: Cross multiply
    72,538.49x = 108,742.11 × 25,780.43
  4. Step 4: Simplify right side
    72,538.49x = 2,803,418,354.91
  5. Step 5: Solve for x
    x = 2,803,418,354.91/72,538.49
  6. Step 6: Final answer
    x = 38,647.32

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