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Finding the Fourth Proportional to 33,114.74, 45,755.42 and 29,129.00

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Solution

The fourth proportional to 33,114.74, 45,755.42 and 29,129.00 is: 40,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.74 : 45,755.42 = 29,129.00 : x
  2. Step 2: Convert to fraction form
    33,114.74/45,755.42 = 29,129.00/x
  3. Step 3: Cross multiply
    33,114.74x = 45,755.42 × 29,129.00
  4. Step 4: Simplify right side
    33,114.74x = 1,332,809,254.76
  5. Step 5: Solve for x
    x = 1,332,809,254.76/33,114.74
  6. Step 6: Final answer
    x = 40,248.22

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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.