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Finding the Fourth Proportional to 71,358.80, 107,038.20 and 21,446.60

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Solution

The fourth proportional to 71,358.80, 107,038.20 and 21,446.60 is: 32,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,358.80 : 107,038.20 = 21,446.60 : x
  2. Step 2: Convert to fraction form
    71,358.80/107,038.20 = 21,446.60/x
  3. Step 3: Cross multiply
    71,358.80x = 107,038.20 × 21,446.60
  4. Step 4: Simplify right side
    71,358.80x = 2,295,605,460.12
  5. Step 5: Solve for x
    x = 2,295,605,460.12/71,358.80
  6. Step 6: Final answer
    x = 32,169.90

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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.