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Finding the Fourth Proportional to 27,159.30, 37,478.79 and 15,829.38

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Solution

The fourth proportional to 27,159.30, 37,478.79 and 15,829.38 is: 21,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,159.30 : 37,478.79 = 15,829.38 : x
  2. Step 2: Convert to fraction form
    27,159.30/37,478.79 = 15,829.38/x
  3. Step 3: Cross multiply
    27,159.30x = 37,478.79 × 15,829.38
  4. Step 4: Simplify right side
    27,159.30x = 593,266,008.85
  5. Step 5: Solve for x
    x = 593,266,008.85/27,159.30
  6. Step 6: Final answer
    x = 21,843.94

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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.