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Finding the Fourth Proportional to 76,562.65, 114,845.82 and 29,171.58

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Solution

The fourth proportional to 76,562.65, 114,845.82 and 29,171.58 is: 43,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,562.65 : 114,845.82 = 29,171.58 : x
  2. Step 2: Convert to fraction form
    76,562.65/114,845.82 = 29,171.58/x
  3. Step 3: Cross multiply
    76,562.65x = 114,845.82 × 29,171.58
  4. Step 4: Simplify right side
    76,562.65x = 3,350,234,025.80
  5. Step 5: Solve for x
    x = 3,350,234,025.80/76,562.65
  6. Step 6: Final answer
    x = 43,758.07

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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.