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Finding the Fourth Proportional to 95,234, 142,840.02 and 38,305.76

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Solution

The fourth proportional to 95,234, 142,840.02 and 38,305.76 is: 57,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,234 : 142,840.02 = 38,305.76 : x
  2. Step 2: Convert to fraction form
    95,234/142,840.02 = 38,305.76/x
  3. Step 3: Cross multiply
    95,234x = 142,840.02 × 38,305.76
  4. Step 4: Simplify right side
    95,234x = 5,471,595,524.52
  5. Step 5: Solve for x
    x = 5,471,595,524.52/95,234
  6. Step 6: Final answer
    x = 57,454.22

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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.