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Finding the Fourth Proportional to 52,092.47, 71,873.02 and 32,713.47

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Solution

The fourth proportional to 52,092.47, 71,873.02 and 32,713.47 is: 45,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092.47 : 71,873.02 = 32,713.47 : x
  2. Step 2: Convert to fraction form
    52,092.47/71,873.02 = 32,713.47/x
  3. Step 3: Cross multiply
    52,092.47x = 71,873.02 × 32,713.47
  4. Step 4: Simplify right side
    52,092.47x = 2,351,215,883.58
  5. Step 5: Solve for x
    x = 2,351,215,883.58/52,092.47
  6. Step 6: Final answer
    x = 45,135.43

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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.