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Finding the Fourth Proportional to 66,503.43, 99,752.11 and 16,582.12

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Solution

The fourth proportional to 66,503.43, 99,752.11 and 16,582.12 is: 24,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,503.43 : 99,752.11 = 16,582.12 : x
  2. Step 2: Convert to fraction form
    66,503.43/99,752.11 = 16,582.12/x
  3. Step 3: Cross multiply
    66,503.43x = 99,752.11 × 16,582.12
  4. Step 4: Simplify right side
    66,503.43x = 1,654,101,167.44
  5. Step 5: Solve for x
    x = 1,654,101,167.44/66,503.43
  6. Step 6: Final answer
    x = 24,872.42

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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.