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Finding the Fourth Proportional to 65,538.40, 98,308.14 and 40,650.88

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Solution

The fourth proportional to 65,538.40, 98,308.14 and 40,650.88 is: 60,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,538.40 : 98,308.14 = 40,650.88 : x
  2. Step 2: Convert to fraction form
    65,538.40/98,308.14 = 40,650.88/x
  3. Step 3: Cross multiply
    65,538.40x = 98,308.14 × 40,650.88
  4. Step 4: Simplify right side
    65,538.40x = 3,996,312,402.16
  5. Step 5: Solve for x
    x = 3,996,312,402.16/65,538.40
  6. Step 6: Final answer
    x = 60,976.65

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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.