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Finding the Fourth Proportional to 77,761.62, 116,642.33 and 24,458.28

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Solution

The fourth proportional to 77,761.62, 116,642.33 and 24,458.28 is: 36,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,761.62 : 116,642.33 = 24,458.28 : x
  2. Step 2: Convert to fraction form
    77,761.62/116,642.33 = 24,458.28/x
  3. Step 3: Cross multiply
    77,761.62x = 116,642.33 × 24,458.28
  4. Step 4: Simplify right side
    77,761.62x = 2,852,870,766.99
  5. Step 5: Solve for x
    x = 2,852,870,766.99/77,761.62
  6. Step 6: Final answer
    x = 36,687.39

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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.