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Finding the Fourth Proportional to 31,066.38, 42,871.59 and 16,919.22

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Solution

The fourth proportional to 31,066.38, 42,871.59 and 16,919.22 is: 23,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.38 : 42,871.59 = 16,919.22 : x
  2. Step 2: Convert to fraction form
    31,066.38/42,871.59 = 16,919.22/x
  3. Step 3: Cross multiply
    31,066.38x = 42,871.59 × 16,919.22
  4. Step 4: Simplify right side
    31,066.38x = 725,353,862.96
  5. Step 5: Solve for x
    x = 725,353,862.96/31,066.38
  6. Step 6: Final answer
    x = 23,348.52

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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.