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Finding the Fourth Proportional to 83,272.86, 114,915.24 and 47,464.92

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Solution

The fourth proportional to 83,272.86, 114,915.24 and 47,464.92 is: 65,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,272.86 : 114,915.24 = 47,464.92 : x
  2. Step 2: Convert to fraction form
    83,272.86/114,915.24 = 47,464.92/x
  3. Step 3: Cross multiply
    83,272.86x = 114,915.24 × 47,464.92
  4. Step 4: Simplify right side
    83,272.86x = 5,454,442,673.38
  5. Step 5: Solve for x
    x = 5,454,442,673.38/83,272.86
  6. Step 6: Final answer
    x = 65,500.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.