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Finding the Fourth Proportional to 29,882, 41,248.44 and 23,491.92

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Solution

The fourth proportional to 29,882, 41,248.44 and 23,491.92 is: 32,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882 : 41,248.44 = 23,491.92 : x
  2. Step 2: Convert to fraction form
    29,882/41,248.44 = 23,491.92/x
  3. Step 3: Cross multiply
    29,882x = 41,248.44 × 23,491.92
  4. Step 4: Simplify right side
    29,882x = 969,005,052.60
  5. Step 5: Solve for x
    x = 969,005,052.60/29,882
  6. Step 6: Final answer
    x = 32,427.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.