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Finding the Fourth Proportional to 29,153.90, 43,732.22 and 9,434

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Solution

The fourth proportional to 29,153.90, 43,732.22 and 9,434 is: 14,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,153.90 : 43,732.22 = 9,434 : x
  2. Step 2: Convert to fraction form
    29,153.90/43,732.22 = 9,434/x
  3. Step 3: Cross multiply
    29,153.90x = 43,732.22 × 9,434
  4. Step 4: Simplify right side
    29,153.90x = 412,569,763.48
  5. Step 5: Solve for x
    x = 412,569,763.48/29,153.90
  6. Step 6: Final answer
    x = 14,151.44

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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.