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Finding the Fourth Proportional to 45,199, 67,822.16 and 32,821.28

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Solution

The fourth proportional to 45,199, 67,822.16 and 32,821.28 is: 49,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,199 : 67,822.16 = 32,821.28 : x
  2. Step 2: Convert to fraction form
    45,199/67,822.16 = 32,821.28/x
  3. Step 3: Cross multiply
    45,199x = 67,822.16 × 32,821.28
  4. Step 4: Simplify right side
    45,199x = 2,226,010,103.56
  5. Step 5: Solve for x
    x = 2,226,010,103.56/45,199
  6. Step 6: Final answer
    x = 49,249.10

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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.