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Finding the Fourth Proportional to 77,593.72, 107,034.30 and 48,902.14

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Solution

The fourth proportional to 77,593.72, 107,034.30 and 48,902.14 is: 67,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,593.72 : 107,034.30 = 48,902.14 : x
  2. Step 2: Convert to fraction form
    77,593.72/107,034.30 = 48,902.14/x
  3. Step 3: Cross multiply
    77,593.72x = 107,034.30 × 48,902.14
  4. Step 4: Simplify right side
    77,593.72x = 5,234,206,323.40
  5. Step 5: Solve for x
    x = 5,234,206,323.40/77,593.72
  6. Step 6: Final answer
    x = 67,456.57

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1.5x scale

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.