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Finding the Fourth Proportional to 71,695.70, 107,565.42 and 36,659.96

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Solution

The fourth proportional to 71,695.70, 107,565.42 and 36,659.96 is: 55,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.70 : 107,565.42 = 36,659.96 : x
  2. Step 2: Convert to fraction form
    71,695.70/107,565.42 = 36,659.96/x
  3. Step 3: Cross multiply
    71,695.70x = 107,565.42 × 36,659.96
  4. Step 4: Simplify right side
    71,695.70x = 3,943,343,994.58
  5. Step 5: Solve for x
    x = 3,943,343,994.58/71,695.70
  6. Step 6: Final answer
    x = 55,001.12

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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.