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Finding the Fourth Proportional to 54,876.44, 82,312.82 and 23,266.19

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Solution

The fourth proportional to 54,876.44, 82,312.82 and 23,266.19 is: 34,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876.44 : 82,312.82 = 23,266.19 : x
  2. Step 2: Convert to fraction form
    54,876.44/82,312.82 = 23,266.19/x
  3. Step 3: Cross multiply
    54,876.44x = 82,312.82 × 23,266.19
  4. Step 4: Simplify right side
    54,876.44x = 1,915,105,356.16
  5. Step 5: Solve for x
    x = 1,915,105,356.16/54,876.44
  6. Step 6: Final answer
    x = 34,898.50

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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.