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Finding the Fourth Proportional to 107,711.20, 161,566.80 and 48,662.20

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Solution

The fourth proportional to 107,711.20, 161,566.80 and 48,662.20 is: 72,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,711.20 : 161,566.80 = 48,662.20 : x
  2. Step 2: Convert to fraction form
    107,711.20/161,566.80 = 48,662.20/x
  3. Step 3: Cross multiply
    107,711.20x = 161,566.80 × 48,662.20
  4. Step 4: Simplify right side
    107,711.20x = 7,862,195,934.96
  5. Step 5: Solve for x
    x = 7,862,195,934.96/107,711.20
  6. Step 6: Final answer
    x = 72,993.30

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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.