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Finding the Fourth Proportional to 77,562.80, 107,046.76 and 47,341.84

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Solution

The fourth proportional to 77,562.80, 107,046.76 and 47,341.84 is: 65,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,562.80 : 107,046.76 = 47,341.84 : x
  2. Step 2: Convert to fraction form
    77,562.80/107,046.76 = 47,341.84/x
  3. Step 3: Cross multiply
    77,562.80x = 107,046.76 × 47,341.84
  4. Step 4: Simplify right side
    77,562.80x = 5,067,790,584.44
  5. Step 5: Solve for x
    x = 5,067,790,584.44/77,562.80
  6. Step 6: Final answer
    x = 65,337.90

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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.