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Finding the Fourth Proportional to 83,501.35, 115,244.18 and 52,877.24

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Solution

The fourth proportional to 83,501.35, 115,244.18 and 52,877.24 is: 72,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,501.35 : 115,244.18 = 52,877.24 : x
  2. Step 2: Convert to fraction form
    83,501.35/115,244.18 = 52,877.24/x
  3. Step 3: Cross multiply
    83,501.35x = 115,244.18 × 52,877.24
  4. Step 4: Simplify right side
    83,501.35x = 6,093,794,320.38
  5. Step 5: Solve for x
    x = 6,093,794,320.38/83,501.35
  6. Step 6: Final answer
    x = 72,978.39

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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.