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Finding the Fourth Proportional to 52,008.10, 71,770.96 and 28,134.71

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Solution

The fourth proportional to 52,008.10, 71,770.96 and 28,134.71 is: 38,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,008.10 : 71,770.96 = 28,134.71 : x
  2. Step 2: Convert to fraction form
    52,008.10/71,770.96 = 28,134.71/x
  3. Step 3: Cross multiply
    52,008.10x = 71,770.96 × 28,134.71
  4. Step 4: Simplify right side
    52,008.10x = 2,019,255,146.02
  5. Step 5: Solve for x
    x = 2,019,255,146.02/52,008.10
  6. Step 6: Final answer
    x = 38,825.78

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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.