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Finding the Fourth Proportional to 78,012.60, 107,614.38 and 48,198.84

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Solution

The fourth proportional to 78,012.60, 107,614.38 and 48,198.84 is: 66,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012.60 : 107,614.38 = 48,198.84 : x
  2. Step 2: Convert to fraction form
    78,012.60/107,614.38 = 48,198.84/x
  3. Step 3: Cross multiply
    78,012.60x = 107,614.38 × 48,198.84
  4. Step 4: Simplify right side
    78,012.60x = 5,186,888,283.32
  5. Step 5: Solve for x
    x = 5,186,888,283.32/78,012.60
  6. Step 6: Final answer
    x = 66,487.83

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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.