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Finding the Fourth Proportional to 31,071.38, 42,884.06 and 18,323.78

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Solution

The fourth proportional to 31,071.38, 42,884.06 and 18,323.78 is: 25,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.38 : 42,884.06 = 18,323.78 : x
  2. Step 2: Convert to fraction form
    31,071.38/42,884.06 = 18,323.78/x
  3. Step 3: Cross multiply
    31,071.38x = 42,884.06 × 18,323.78
  4. Step 4: Simplify right side
    31,071.38x = 785,797,774.91
  5. Step 5: Solve for x
    x = 785,797,774.91/31,071.38
  6. Step 6: Final answer
    x = 25,290.09

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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.