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Finding the Fourth Proportional to 27,046.06, 40,470.41 and 15,958.06

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Solution

The fourth proportional to 27,046.06, 40,470.41 and 15,958.06 is: 23,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046.06 : 40,470.41 = 15,958.06 : x
  2. Step 2: Convert to fraction form
    27,046.06/40,470.41 = 15,958.06/x
  3. Step 3: Cross multiply
    27,046.06x = 40,470.41 × 15,958.06
  4. Step 4: Simplify right side
    27,046.06x = 645,829,231.00
  5. Step 5: Solve for x
    x = 645,829,231.00/27,046.06
  6. Step 6: Final answer
    x = 23,878.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.