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Finding the Fourth Proportional to 53,583.60, 80,388.84 and 16,142.88

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Solution

The fourth proportional to 53,583.60, 80,388.84 and 16,142.88 is: 24,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,583.60 : 80,388.84 = 16,142.88 : x
  2. Step 2: Convert to fraction form
    53,583.60/80,388.84 = 16,142.88/x
  3. Step 3: Cross multiply
    53,583.60x = 80,388.84 × 16,142.88
  4. Step 4: Simplify right side
    53,583.60x = 1,297,707,397.46
  5. Step 5: Solve for x
    x = 1,297,707,397.46/53,583.60
  6. Step 6: Final answer
    x = 24,218.37

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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.