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Finding the Fourth Proportional to 52,084.17, 71,876.16 and 28,210.77

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Solution

The fourth proportional to 52,084.17, 71,876.16 and 28,210.77 is: 38,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,084.17 : 71,876.16 = 28,210.77 : x
  2. Step 2: Convert to fraction form
    52,084.17/71,876.16 = 28,210.77/x
  3. Step 3: Cross multiply
    52,084.17x = 71,876.16 × 28,210.77
  4. Step 4: Simplify right side
    52,084.17x = 2,027,681,818.24
  5. Step 5: Solve for x
    x = 2,027,681,818.24/52,084.17
  6. Step 6: Final answer
    x = 38,930.87

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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.