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Finding the Fourth Proportional to 27,975.38, 38,606.02 and 16,042.66

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Solution

The fourth proportional to 27,975.38, 38,606.02 and 16,042.66 is: 22,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,975.38 : 38,606.02 = 16,042.66 : x
  2. Step 2: Convert to fraction form
    27,975.38/38,606.02 = 16,042.66/x
  3. Step 3: Cross multiply
    27,975.38x = 38,606.02 × 16,042.66
  4. Step 4: Simplify right side
    27,975.38x = 619,343,116.19
  5. Step 5: Solve for x
    x = 619,343,116.19/27,975.38
  6. Step 6: Final answer
    x = 22,138.87

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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.