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Finding the Fourth Proportional to 78,775.65, 108,727.92 and 50,089.77

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Solution

The fourth proportional to 78,775.65, 108,727.92 and 50,089.77 is: 69,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,775.65 : 108,727.92 = 50,089.77 : x
  2. Step 2: Convert to fraction form
    78,775.65/108,727.92 = 50,089.77/x
  3. Step 3: Cross multiply
    78,775.65x = 108,727.92 × 50,089.77
  4. Step 4: Simplify right side
    78,775.65x = 5,446,156,505.38
  5. Step 5: Solve for x
    x = 5,446,156,505.38/78,775.65
  6. Step 6: Final answer
    x = 69,135.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.