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Finding the Fourth Proportional to 83,877.80, 125,816.70 and 33,981.80

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Solution

The fourth proportional to 83,877.80, 125,816.70 and 33,981.80 is: 50,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,877.80 : 125,816.70 = 33,981.80 : x
  2. Step 2: Convert to fraction form
    83,877.80/125,816.70 = 33,981.80/x
  3. Step 3: Cross multiply
    83,877.80x = 125,816.70 × 33,981.80
  4. Step 4: Simplify right side
    83,877.80x = 4,275,477,936.06
  5. Step 5: Solve for x
    x = 4,275,477,936.06/83,877.80
  6. Step 6: Final answer
    x = 50,972.70

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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.