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Finding the Fourth Proportional to 78,096.80, 107,771.28 and 44,106.68

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Solution

The fourth proportional to 78,096.80, 107,771.28 and 44,106.68 is: 60,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,096.80 : 107,771.28 = 44,106.68 : x
  2. Step 2: Convert to fraction form
    78,096.80/107,771.28 = 44,106.68/x
  3. Step 3: Cross multiply
    78,096.80x = 107,771.28 × 44,106.68
  4. Step 4: Simplify right side
    78,096.80x = 4,753,433,360.15
  5. Step 5: Solve for x
    x = 4,753,433,360.15/78,096.80
  6. Step 6: Final answer
    x = 60,865.92

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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.