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Finding the Fourth Proportional to 31,102.38, 42,921.29 and 17,673.65

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Solution

The fourth proportional to 31,102.38, 42,921.29 and 17,673.65 is: 24,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.38 : 42,921.29 = 17,673.65 : x
  2. Step 2: Convert to fraction form
    31,102.38/42,921.29 = 17,673.65/x
  3. Step 3: Cross multiply
    31,102.38x = 42,921.29 × 17,673.65
  4. Step 4: Simplify right side
    31,102.38x = 758,575,642.40
  5. Step 5: Solve for x
    x = 758,575,642.40/31,102.38
  6. Step 6: Final answer
    x = 24,389.64

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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.