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Finding the Fourth Proportional to 83,115, 124,674.93 and 20,785.50

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Solution

The fourth proportional to 83,115, 124,674.93 and 20,785.50 is: 31,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,115 : 124,674.93 = 20,785.50 : x
  2. Step 2: Convert to fraction form
    83,115/124,674.93 = 20,785.50/x
  3. Step 3: Cross multiply
    83,115x = 124,674.93 × 20,785.50
  4. Step 4: Simplify right side
    83,115x = 2,591,430,757.52
  5. Step 5: Solve for x
    x = 2,591,430,757.52/83,115
  6. Step 6: Final answer
    x = 31,178.86

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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.