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Finding the Fourth Proportional to 52,124.32, 71,931.30 and 28,250.80

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Solution

The fourth proportional to 52,124.32, 71,931.30 and 28,250.80 is: 38,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,124.32 : 71,931.30 = 28,250.80 : x
  2. Step 2: Convert to fraction form
    52,124.32/71,931.30 = 28,250.80/x
  3. Step 3: Cross multiply
    52,124.32x = 71,931.30 × 28,250.80
  4. Step 4: Simplify right side
    52,124.32x = 2,032,116,770.04
  5. Step 5: Solve for x
    x = 2,032,116,770.04/52,124.32
  6. Step 6: Final answer
    x = 38,985.96

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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.