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Finding the Fourth Proportional to 39,102.16, 58,652.74 and 9,520.02

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Solution

The fourth proportional to 39,102.16, 58,652.74 and 9,520.02 is: 14,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,102.16 : 58,652.74 = 9,520.02 : x
  2. Step 2: Convert to fraction form
    39,102.16/58,652.74 = 9,520.02/x
  3. Step 3: Cross multiply
    39,102.16x = 58,652.74 × 9,520.02
  4. Step 4: Simplify right side
    39,102.16x = 558,375,257.85
  5. Step 5: Solve for x
    x = 558,375,257.85/39,102.16
  6. Step 6: Final answer
    x = 14,279.91

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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.