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Finding the Fourth Proportional to 77,349.28, 106,761.36 and 47,524

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Solution

The fourth proportional to 77,349.28, 106,761.36 and 47,524 is: 65,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,349.28 : 106,761.36 = 47,524 : x
  2. Step 2: Convert to fraction form
    77,349.28/106,761.36 = 47,524/x
  3. Step 3: Cross multiply
    77,349.28x = 106,761.36 × 47,524
  4. Step 4: Simplify right side
    77,349.28x = 5,073,726,872.64
  5. Step 5: Solve for x
    x = 5,073,726,872.64/77,349.28
  6. Step 6: Final answer
    x = 65,595.01

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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.