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Finding the Fourth Proportional to 27,470.38, 37,898.41 and 17,921.50

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Solution

The fourth proportional to 27,470.38, 37,898.41 and 17,921.50 is: 24,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.38 : 37,898.41 = 17,921.50 : x
  2. Step 2: Convert to fraction form
    27,470.38/37,898.41 = 17,921.50/x
  3. Step 3: Cross multiply
    27,470.38x = 37,898.41 × 17,921.50
  4. Step 4: Simplify right side
    27,470.38x = 679,196,354.82
  5. Step 5: Solve for x
    x = 679,196,354.82/27,470.38
  6. Step 6: Final answer
    x = 24,724.68

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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.