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Finding the Fourth Proportional to 76,491.24, 114,691.50 and 29,109.90

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Solution

The fourth proportional to 76,491.24, 114,691.50 and 29,109.90 is: 43,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491.24 : 114,691.50 = 29,109.90 : x
  2. Step 2: Convert to fraction form
    76,491.24/114,691.50 = 29,109.90/x
  3. Step 3: Cross multiply
    76,491.24x = 114,691.50 × 29,109.90
  4. Step 4: Simplify right side
    76,491.24x = 3,338,658,095.85
  5. Step 5: Solve for x
    x = 3,338,658,095.85/76,491.24
  6. Step 6: Final answer
    x = 43,647.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.