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Finding the Fourth Proportional to 78,046.76, 107,704.82 and 44,055.56

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Solution

The fourth proportional to 78,046.76, 107,704.82 and 44,055.56 is: 60,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,046.76 : 107,704.82 = 44,055.56 : x
  2. Step 2: Convert to fraction form
    78,046.76/107,704.82 = 44,055.56/x
  3. Step 3: Cross multiply
    78,046.76x = 107,704.82 × 44,055.56
  4. Step 4: Simplify right side
    78,046.76x = 4,744,996,159.80
  5. Step 5: Solve for x
    x = 4,744,996,159.80/78,046.76
  6. Step 6: Final answer
    x = 60,796.84

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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.