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Finding the Fourth Proportional to 52,124.58, 71,931.88 and 28,251.24

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Solution

The fourth proportional to 52,124.58, 71,931.88 and 28,251.24 is: 38,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,124.58 : 71,931.88 = 28,251.24 : x
  2. Step 2: Convert to fraction form
    52,124.58/71,931.88 = 28,251.24/x
  3. Step 3: Cross multiply
    52,124.58x = 71,931.88 × 28,251.24
  4. Step 4: Simplify right side
    52,124.58x = 2,032,164,805.53
  5. Step 5: Solve for x
    x = 2,032,164,805.53/52,124.58
  6. Step 6: Final answer
    x = 38,986.69

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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.