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Finding the Fourth Proportional to 95,182.40, 142,773.92 and 24,105

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Solution

The fourth proportional to 95,182.40, 142,773.92 and 24,105 is: 36,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,182.40 : 142,773.92 = 24,105 : x
  2. Step 2: Convert to fraction form
    95,182.40/142,773.92 = 24,105/x
  3. Step 3: Cross multiply
    95,182.40x = 142,773.92 × 24,105
  4. Step 4: Simplify right side
    95,182.40x = 3,441,565,341.60
  5. Step 5: Solve for x
    x = 3,441,565,341.60/95,182.40
  6. Step 6: Final answer
    x = 36,157.58

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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.