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Finding the Fourth Proportional to 53,581.60, 80,385.84 and 16,140.88

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Solution

The fourth proportional to 53,581.60, 80,385.84 and 16,140.88 is: 24,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,581.60 : 80,385.84 = 16,140.88 : x
  2. Step 2: Convert to fraction form
    53,581.60/80,385.84 = 16,140.88/x
  3. Step 3: Cross multiply
    53,581.60x = 80,385.84 × 16,140.88
  4. Step 4: Simplify right side
    53,581.60x = 1,297,498,197.14
  5. Step 5: Solve for x
    x = 1,297,498,197.14/53,581.60
  6. Step 6: Final answer
    x = 24,215.37

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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.