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Finding the Fourth Proportional to 42,102, 58,101.57 and 23,238.72

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Solution

The fourth proportional to 42,102, 58,101.57 and 23,238.72 is: 32,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102 : 58,101.57 = 23,238.72 : x
  2. Step 2: Convert to fraction form
    42,102/58,101.57 = 23,238.72/x
  3. Step 3: Cross multiply
    42,102x = 58,101.57 × 23,238.72
  4. Step 4: Simplify right side
    42,102x = 1,350,206,116.79
  5. Step 5: Solve for x
    x = 1,350,206,116.79/42,102
  6. Step 6: Final answer
    x = 32,069.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.