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Finding the Fourth Proportional to 52,125.10, 71,932.74 and 28,251.77

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Solution

The fourth proportional to 52,125.10, 71,932.74 and 28,251.77 is: 38,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125.10 : 71,932.74 = 28,251.77 : x
  2. Step 2: Convert to fraction form
    52,125.10/71,932.74 = 28,251.77/x
  3. Step 3: Cross multiply
    52,125.10x = 71,932.74 × 28,251.77
  4. Step 4: Simplify right side
    52,125.10x = 2,032,227,323.88
  5. Step 5: Solve for x
    x = 2,032,227,323.88/52,125.10
  6. Step 6: Final answer
    x = 38,987.50

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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.