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Finding the Fourth Proportional to 74,142.60, 111,199.31 and 24,224.46

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Solution

The fourth proportional to 74,142.60, 111,199.31 and 24,224.46 is: 36,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,142.60 : 111,199.31 = 24,224.46 : x
  2. Step 2: Convert to fraction form
    74,142.60/111,199.31 = 24,224.46/x
  3. Step 3: Cross multiply
    74,142.60x = 111,199.31 × 24,224.46
  4. Step 4: Simplify right side
    74,142.60x = 2,693,743,237.12
  5. Step 5: Solve for x
    x = 2,693,743,237.12/74,142.60
  6. Step 6: Final answer
    x = 36,331.92

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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.