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Finding the Fourth Proportional to 52,721.32, 72,754.22 and 28,847.72

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Solution

The fourth proportional to 52,721.32, 72,754.22 and 28,847.72 is: 39,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,721.32 : 72,754.22 = 28,847.72 : x
  2. Step 2: Convert to fraction form
    52,721.32/72,754.22 = 28,847.72/x
  3. Step 3: Cross multiply
    52,721.32x = 72,754.22 × 28,847.72
  4. Step 4: Simplify right side
    52,721.32x = 2,098,793,367.38
  5. Step 5: Solve for x
    x = 2,098,793,367.38/52,721.32
  6. Step 6: Final answer
    x = 39,809.20

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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.