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Finding the Fourth Proportional to 31,074.50, 42,883.11 and 17,646.04

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Solution

The fourth proportional to 31,074.50, 42,883.11 and 17,646.04 is: 24,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.50 : 42,883.11 = 17,646.04 : x
  2. Step 2: Convert to fraction form
    31,074.50/42,883.11 = 17,646.04/x
  3. Step 3: Cross multiply
    31,074.50x = 42,883.11 × 17,646.04
  4. Step 4: Simplify right side
    31,074.50x = 756,717,074.38
  5. Step 5: Solve for x
    x = 756,717,074.38/31,074.50
  6. Step 6: Final answer
    x = 24,351.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.