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Finding the Fourth Proportional to 52,121.64, 71,927.85 and 28,248.31

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Solution

The fourth proportional to 52,121.64, 71,927.85 and 28,248.31 is: 38,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,121.64 : 71,927.85 = 28,248.31 : x
  2. Step 2: Convert to fraction form
    52,121.64/71,927.85 = 28,248.31/x
  3. Step 3: Cross multiply
    52,121.64x = 71,927.85 × 28,248.31
  4. Step 4: Simplify right side
    52,121.64x = 2,031,840,204.43
  5. Step 5: Solve for x
    x = 2,031,840,204.43/52,121.64
  6. Step 6: Final answer
    x = 38,982.66

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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.