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Finding the Fourth Proportional to 29,178.96, 43,772.49 and 9,451.14

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Solution

The fourth proportional to 29,178.96, 43,772.49 and 9,451.14 is: 14,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,178.96 : 43,772.49 = 9,451.14 : x
  2. Step 2: Convert to fraction form
    29,178.96/43,772.49 = 9,451.14/x
  3. Step 3: Cross multiply
    29,178.96x = 43,772.49 × 9,451.14
  4. Step 4: Simplify right side
    29,178.96x = 413,699,931.14
  5. Step 5: Solve for x
    x = 413,699,931.14/29,178.96
  6. Step 6: Final answer
    x = 14,178.02

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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.