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Finding the Fourth Proportional to 29,966.47, 41,532.30 and 29,405.97

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Solution

The fourth proportional to 29,966.47, 41,532.30 and 29,405.97 is: 40,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,966.47 : 41,532.30 = 29,405.97 : x
  2. Step 2: Convert to fraction form
    29,966.47/41,532.30 = 29,405.97/x
  3. Step 3: Cross multiply
    29,966.47x = 41,532.30 × 29,405.97
  4. Step 4: Simplify right side
    29,966.47x = 1,221,297,420.80
  5. Step 5: Solve for x
    x = 1,221,297,420.80/29,966.47
  6. Step 6: Final answer
    x = 40,755.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.