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Finding the Fourth Proportional to 52,123.32, 71,929.92 and 28,249.80

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Solution

The fourth proportional to 52,123.32, 71,929.92 and 28,249.80 is: 38,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,123.32 : 71,929.92 = 28,249.80 : x
  2. Step 2: Convert to fraction form
    52,123.32/71,929.92 = 28,249.80/x
  3. Step 3: Cross multiply
    52,123.32x = 71,929.92 × 28,249.80
  4. Step 4: Simplify right side
    52,123.32x = 2,032,005,854.02
  5. Step 5: Solve for x
    x = 2,032,005,854.02/52,123.32
  6. Step 6: Final answer
    x = 38,984.58

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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.