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Finding the Fourth Proportional to 54,707.50, 82,093.52 and 23,115.50

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Solution

The fourth proportional to 54,707.50, 82,093.52 and 23,115.50 is: 34,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,707.50 : 82,093.52 = 23,115.50 : x
  2. Step 2: Convert to fraction form
    54,707.50/82,093.52 = 23,115.50/x
  3. Step 3: Cross multiply
    54,707.50x = 82,093.52 × 23,115.50
  4. Step 4: Simplify right side
    54,707.50x = 1,897,632,761.56
  5. Step 5: Solve for x
    x = 1,897,632,761.56/54,707.50
  6. Step 6: Final answer
    x = 34,686.89

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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.