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Finding the Fourth Proportional to 47,773.53, 71,659.08 and 22,831.20

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Solution

The fourth proportional to 47,773.53, 71,659.08 and 22,831.20 is: 34,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773.53 : 71,659.08 = 22,831.20 : x
  2. Step 2: Convert to fraction form
    47,773.53/71,659.08 = 22,831.20/x
  3. Step 3: Cross multiply
    47,773.53x = 71,659.08 × 22,831.20
  4. Step 4: Simplify right side
    47,773.53x = 1,636,062,787.30
  5. Step 5: Solve for x
    x = 1,636,062,787.30/47,773.53
  6. Step 6: Final answer
    x = 34,246.22

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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.