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Finding the Fourth Proportional to 83,785.28, 125,767.42 and 33,897.98

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Solution

The fourth proportional to 83,785.28, 125,767.42 and 33,897.98 is: 50,883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,785.28 : 125,767.42 = 33,897.98 : x
  2. Step 2: Convert to fraction form
    83,785.28/125,767.42 = 33,897.98/x
  3. Step 3: Cross multiply
    83,785.28x = 125,767.42 × 33,897.98
  4. Step 4: Simplify right side
    83,785.28x = 4,263,261,487.81
  5. Step 5: Solve for x
    x = 4,263,261,487.81/83,785.28
  6. Step 6: Final answer
    x = 50,883.18

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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.