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Finding the Fourth Proportional to 31,615.38, 43,624.31 and 18,187.20

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Solution

The fourth proportional to 31,615.38, 43,624.31 and 18,187.20 is: 25,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.38 : 43,624.31 = 18,187.20 : x
  2. Step 2: Convert to fraction form
    31,615.38/43,624.31 = 18,187.20/x
  3. Step 3: Cross multiply
    31,615.38x = 43,624.31 × 18,187.20
  4. Step 4: Simplify right side
    31,615.38x = 793,403,959.90
  5. Step 5: Solve for x
    x = 793,403,959.90/31,615.38
  6. Step 6: Final answer
    x = 25,095.51

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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.