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Finding the Fourth Proportional to 54,112.76, 81,169.14 and 26,387

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Solution

The fourth proportional to 54,112.76, 81,169.14 and 26,387 is: 39,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,112.76 : 81,169.14 = 26,387 : x
  2. Step 2: Convert to fraction form
    54,112.76/81,169.14 = 26,387/x
  3. Step 3: Cross multiply
    54,112.76x = 81,169.14 × 26,387
  4. Step 4: Simplify right side
    54,112.76x = 2,141,810,097.18
  5. Step 5: Solve for x
    x = 2,141,810,097.18/54,112.76
  6. Step 6: Final answer
    x = 39,580.50

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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.