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Finding the Fourth Proportional to 71,690.73, 107,454.96 and 36,095.49

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Solution

The fourth proportional to 71,690.73, 107,454.96 and 36,095.49 is: 54,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,690.73 : 107,454.96 = 36,095.49 : x
  2. Step 2: Convert to fraction form
    71,690.73/107,454.96 = 36,095.49/x
  3. Step 3: Cross multiply
    71,690.73x = 107,454.96 × 36,095.49
  4. Step 4: Simplify right side
    71,690.73x = 3,878,639,434.13
  5. Step 5: Solve for x
    x = 3,878,639,434.13/71,690.73
  6. Step 6: Final answer
    x = 54,102.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.