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Finding the Fourth Proportional to 29,114.47, 40,179.41 and 17,782.13

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Solution

The fourth proportional to 29,114.47, 40,179.41 and 17,782.13 is: 24,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114.47 : 40,179.41 = 17,782.13 : x
  2. Step 2: Convert to fraction form
    29,114.47/40,179.41 = 17,782.13/x
  3. Step 3: Cross multiply
    29,114.47x = 40,179.41 × 17,782.13
  4. Step 4: Simplify right side
    29,114.47x = 714,475,586.62
  5. Step 5: Solve for x
    x = 714,475,586.62/29,114.47
  6. Step 6: Final answer
    x = 24,540.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.