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Finding the Fourth Proportional to 77,323.75, 106,704.97 and 45,494.71

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Solution

The fourth proportional to 77,323.75, 106,704.97 and 45,494.71 is: 62,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,323.75 : 106,704.97 = 45,494.71 : x
  2. Step 2: Convert to fraction form
    77,323.75/106,704.97 = 45,494.71/x
  3. Step 3: Cross multiply
    77,323.75x = 106,704.97 × 45,494.71
  4. Step 4: Simplify right side
    77,323.75x = 4,854,511,665.71
  5. Step 5: Solve for x
    x = 4,854,511,665.71/77,323.75
  6. Step 6: Final answer
    x = 62,781.64

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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.