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Finding the Fourth Proportional to 96,149.32, 144,237.65 and 29,595

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Solution

The fourth proportional to 96,149.32, 144,237.65 and 29,595 is: 44,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,149.32 : 144,237.65 = 29,595 : x
  2. Step 2: Convert to fraction form
    96,149.32/144,237.65 = 29,595/x
  3. Step 3: Cross multiply
    96,149.32x = 144,237.65 × 29,595
  4. Step 4: Simplify right side
    96,149.32x = 4,268,713,251.75
  5. Step 5: Solve for x
    x = 4,268,713,251.75/96,149.32
  6. Step 6: Final answer
    x = 44,396.71

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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.