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Finding the Fourth Proportional to 80,948, 111,778.72 and 50,785.16

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Solution

The fourth proportional to 80,948, 111,778.72 and 50,785.16 is: 70,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,948 : 111,778.72 = 50,785.16 : x
  2. Step 2: Convert to fraction form
    80,948/111,778.72 = 50,785.16/x
  3. Step 3: Cross multiply
    80,948x = 111,778.72 × 50,785.16
  4. Step 4: Simplify right side
    80,948x = 5,676,700,179.80
  5. Step 5: Solve for x
    x = 5,676,700,179.80/80,948
  6. Step 6: Final answer
    x = 70,127.74

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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.