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Finding the Fourth Proportional to 54,522.60, 81,831.90 and 32,308.20

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Solution

The fourth proportional to 54,522.60, 81,831.90 and 32,308.20 is: 48,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,522.60 : 81,831.90 = 32,308.20 : x
  2. Step 2: Convert to fraction form
    54,522.60/81,831.90 = 32,308.20/x
  3. Step 3: Cross multiply
    54,522.60x = 81,831.90 × 32,308.20
  4. Step 4: Simplify right side
    54,522.60x = 2,643,841,391.58
  5. Step 5: Solve for x
    x = 2,643,841,391.58/54,522.60
  6. Step 6: Final answer
    x = 48,490.74

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Why These Related Problems?

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