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Finding the Fourth Proportional to 107,041.40, 160,563.90 and 40,512.86

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Solution

The fourth proportional to 107,041.40, 160,563.90 and 40,512.86 is: 60,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,041.40 : 160,563.90 = 40,512.86 : x
  2. Step 2: Convert to fraction form
    107,041.40/160,563.90 = 40,512.86/x
  3. Step 3: Cross multiply
    107,041.40x = 160,563.90 × 40,512.86
  4. Step 4: Simplify right side
    107,041.40x = 6,504,902,801.75
  5. Step 5: Solve for x
    x = 6,504,902,801.75/107,041.40
  6. Step 6: Final answer
    x = 60,769.97

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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.