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Finding the Fourth Proportional to 77,745.88, 107,340.96 and 59,809.24

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Solution

The fourth proportional to 77,745.88, 107,340.96 and 59,809.24 is: 82,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,745.88 : 107,340.96 = 59,809.24 : x
  2. Step 2: Convert to fraction form
    77,745.88/107,340.96 = 59,809.24/x
  3. Step 3: Cross multiply
    77,745.88x = 107,340.96 × 59,809.24
  4. Step 4: Simplify right side
    77,745.88x = 6,419,981,238.47
  5. Step 5: Solve for x
    x = 6,419,981,238.47/77,745.88
  6. Step 6: Final answer
    x = 82,576.48

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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.