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Finding the Fourth Proportional to 27,094.71, 37,391.57 and 15,160.08

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Solution

The fourth proportional to 27,094.71, 37,391.57 and 15,160.08 is: 20,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,094.71 : 37,391.57 = 15,160.08 : x
  2. Step 2: Convert to fraction form
    27,094.71/37,391.57 = 15,160.08/x
  3. Step 3: Cross multiply
    27,094.71x = 37,391.57 × 15,160.08
  4. Step 4: Simplify right side
    27,094.71x = 566,859,116.73
  5. Step 5: Solve for x
    x = 566,859,116.73/27,094.71
  6. Step 6: Final answer
    x = 20,921.39

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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.