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Finding the Fourth Proportional to 54,732.84, 82,064.68 and 23,126.48

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Solution

The fourth proportional to 54,732.84, 82,064.68 and 23,126.48 is: 34,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,732.84 : 82,064.68 = 23,126.48 : x
  2. Step 2: Convert to fraction form
    54,732.84/82,064.68 = 23,126.48/x
  3. Step 3: Cross multiply
    54,732.84x = 82,064.68 × 23,126.48
  4. Step 4: Simplify right side
    54,732.84x = 1,897,867,180.73
  5. Step 5: Solve for x
    x = 1,897,867,180.73/54,732.84
  6. Step 6: Final answer
    x = 34,675.11

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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.