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Finding the Fourth Proportional to 29,200.68, 43,807.50 and 8,424.18

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Solution

The fourth proportional to 29,200.68, 43,807.50 and 8,424.18 is: 12,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,200.68 : 43,807.50 = 8,424.18 : x
  2. Step 2: Convert to fraction form
    29,200.68/43,807.50 = 8,424.18/x
  3. Step 3: Cross multiply
    29,200.68x = 43,807.50 × 8,424.18
  4. Step 4: Simplify right side
    29,200.68x = 369,042,265.35
  5. Step 5: Solve for x
    x = 369,042,265.35/29,200.68
  6. Step 6: Final answer
    x = 12,638.14

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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.