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Finding the Fourth Proportional to 29,112, 40,177.80 and 17,934

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Solution

The fourth proportional to 29,112, 40,177.80 and 17,934 is: 24,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,112 : 40,177.80 = 17,934 : x
  2. Step 2: Convert to fraction form
    29,112/40,177.80 = 17,934/x
  3. Step 3: Cross multiply
    29,112x = 40,177.80 × 17,934
  4. Step 4: Simplify right side
    29,112x = 720,548,665.20
  5. Step 5: Solve for x
    x = 720,548,665.20/29,112
  6. Step 6: Final answer
    x = 24,750.92

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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.