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Finding the Fourth Proportional to 29,097.43, 43,642.19 and 10,372.46

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Solution

The fourth proportional to 29,097.43, 43,642.19 and 10,372.46 is: 15,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097.43 : 43,642.19 = 10,372.46 : x
  2. Step 2: Convert to fraction form
    29,097.43/43,642.19 = 10,372.46/x
  3. Step 3: Cross multiply
    29,097.43x = 43,642.19 × 10,372.46
  4. Step 4: Simplify right side
    29,097.43x = 452,676,677.81
  5. Step 5: Solve for x
    x = 452,676,677.81/29,097.43
  6. Step 6: Final answer
    x = 15,557.27

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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.