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Finding the Fourth Proportional to 77,545.80, 116,318.70 and 27,682.20

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Solution

The fourth proportional to 77,545.80, 116,318.70 and 27,682.20 is: 41,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,545.80 : 116,318.70 = 27,682.20 : x
  2. Step 2: Convert to fraction form
    77,545.80/116,318.70 = 27,682.20/x
  3. Step 3: Cross multiply
    77,545.80x = 116,318.70 × 27,682.20
  4. Step 4: Simplify right side
    77,545.80x = 3,219,957,517.14
  5. Step 5: Solve for x
    x = 3,219,957,517.14/77,545.80
  6. Step 6: Final answer
    x = 41,523.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.