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Finding the Fourth Proportional to 29,174.94, 43,751.34 and 9,448.20

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Solution

The fourth proportional to 29,174.94, 43,751.34 and 9,448.20 is: 14,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,174.94 : 43,751.34 = 9,448.20 : x
  2. Step 2: Convert to fraction form
    29,174.94/43,751.34 = 9,448.20/x
  3. Step 3: Cross multiply
    29,174.94x = 43,751.34 × 9,448.20
  4. Step 4: Simplify right side
    29,174.94x = 413,371,410.59
  5. Step 5: Solve for x
    x = 413,371,410.59/29,174.94
  6. Step 6: Final answer
    x = 14,168.72

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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.