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Finding the Fourth Proportional to 65,314.14, 90,141.85 and 38,459.15

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Solution

The fourth proportional to 65,314.14, 90,141.85 and 38,459.15 is: 53,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314.14 : 90,141.85 = 38,459.15 : x
  2. Step 2: Convert to fraction form
    65,314.14/90,141.85 = 38,459.15/x
  3. Step 3: Cross multiply
    65,314.14x = 90,141.85 × 38,459.15
  4. Step 4: Simplify right side
    65,314.14x = 3,466,778,720.47
  5. Step 5: Solve for x
    x = 3,466,778,720.47/65,314.14
  6. Step 6: Final answer
    x = 53,078.53

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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.