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Finding the Fourth Proportional to 106,002.50, 159,027.14 and 58,686.62

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Solution

The fourth proportional to 106,002.50, 159,027.14 and 58,686.62 is: 88,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,002.50 : 159,027.14 = 58,686.62 : x
  2. Step 2: Convert to fraction form
    106,002.50/159,027.14 = 58,686.62/x
  3. Step 3: Cross multiply
    106,002.50x = 159,027.14 × 58,686.62
  4. Step 4: Simplify right side
    106,002.50x = 9,332,765,334.87
  5. Step 5: Solve for x
    x = 9,332,765,334.87/106,002.50
  6. Step 6: Final answer
    x = 88,042.88

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