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Finding the Fourth Proportional to 27,204.50, 37,542.35 and 15,881.78

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Solution

The fourth proportional to 27,204.50, 37,542.35 and 15,881.78 is: 21,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204.50 : 37,542.35 = 15,881.78 : x
  2. Step 2: Convert to fraction form
    27,204.50/37,542.35 = 15,881.78/x
  3. Step 3: Cross multiply
    27,204.50x = 37,542.35 × 15,881.78
  4. Step 4: Simplify right side
    27,204.50x = 596,239,343.38
  5. Step 5: Solve for x
    x = 596,239,343.38/27,204.50
  6. Step 6: Final answer
    x = 21,916.94

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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.