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Finding the Fourth Proportional to 70,565.20, 105,847.80 and 50,801.20

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Solution

The fourth proportional to 70,565.20, 105,847.80 and 50,801.20 is: 76,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,565.20 : 105,847.80 = 50,801.20 : x
  2. Step 2: Convert to fraction form
    70,565.20/105,847.80 = 50,801.20/x
  3. Step 3: Cross multiply
    70,565.20x = 105,847.80 × 50,801.20
  4. Step 4: Simplify right side
    70,565.20x = 5,377,195,257.36
  5. Step 5: Solve for x
    x = 5,377,195,257.36/70,565.20
  6. Step 6: Final answer
    x = 76,201.80

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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.