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Finding the Fourth Proportional to 29,642.68, 44,456.46 and 12,109.24

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Solution

The fourth proportional to 29,642.68, 44,456.46 and 12,109.24 is: 18,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642.68 : 44,456.46 = 12,109.24 : x
  2. Step 2: Convert to fraction form
    29,642.68/44,456.46 = 12,109.24/x
  3. Step 3: Cross multiply
    29,642.68x = 44,456.46 × 12,109.24
  4. Step 4: Simplify right side
    29,642.68x = 538,333,943.69
  5. Step 5: Solve for x
    x = 538,333,943.69/29,642.68
  6. Step 6: Final answer
    x = 18,160.77

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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.