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Finding the Fourth Proportional to 65,097.80, 97,646.70 and 38,832.20

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Solution

The fourth proportional to 65,097.80, 97,646.70 and 38,832.20 is: 58,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.80 : 97,646.70 = 38,832.20 : x
  2. Step 2: Convert to fraction form
    65,097.80/97,646.70 = 38,832.20/x
  3. Step 3: Cross multiply
    65,097.80x = 97,646.70 × 38,832.20
  4. Step 4: Simplify right side
    65,097.80x = 3,791,836,183.74
  5. Step 5: Solve for x
    x = 3,791,836,183.74/65,097.80
  6. Step 6: Final answer
    x = 58,248.30

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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.