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Finding the Fourth Proportional to 65,406.43, 90,246.90 and 38,539.15

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Solution

The fourth proportional to 65,406.43, 90,246.90 and 38,539.15 is: 53,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,406.43 : 90,246.90 = 38,539.15 : x
  2. Step 2: Convert to fraction form
    65,406.43/90,246.90 = 38,539.15/x
  3. Step 3: Cross multiply
    65,406.43x = 90,246.90 × 38,539.15
  4. Step 4: Simplify right side
    65,406.43x = 3,478,038,816.14
  5. Step 5: Solve for x
    x = 3,478,038,816.14/65,406.43
  6. Step 6: Final answer
    x = 53,175.79

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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.