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Finding the Fourth Proportional to 78,052.90, 107,686.46 and 44,057.38

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Solution

The fourth proportional to 78,052.90, 107,686.46 and 44,057.38 is: 60,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,052.90 : 107,686.46 = 44,057.38 : x
  2. Step 2: Convert to fraction form
    78,052.90/107,686.46 = 44,057.38/x
  3. Step 3: Cross multiply
    78,052.90x = 107,686.46 × 44,057.38
  4. Step 4: Simplify right side
    78,052.90x = 4,744,383,289.07
  5. Step 5: Solve for x
    x = 4,744,383,289.07/78,052.90
  6. Step 6: Final answer
    x = 60,784.20

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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.