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Finding the Fourth Proportional to 48,716.74, 73,077.74 and 13,659.13

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Solution

The fourth proportional to 48,716.74, 73,077.74 and 13,659.13 is: 20,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,716.74 : 73,077.74 = 13,659.13 : x
  2. Step 2: Convert to fraction form
    48,716.74/73,077.74 = 13,659.13/x
  3. Step 3: Cross multiply
    48,716.74x = 73,077.74 × 13,659.13
  4. Step 4: Simplify right side
    48,716.74x = 998,178,350.77
  5. Step 5: Solve for x
    x = 998,178,350.77/48,716.74
  6. Step 6: Final answer
    x = 20,489.43

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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.