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Finding the Fourth Proportional to 54,713.50, 82,102.52 and 23,121.52

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Solution

The fourth proportional to 54,713.50, 82,102.52 and 23,121.52 is: 34,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,713.50 : 82,102.52 = 23,121.52 : x
  2. Step 2: Convert to fraction form
    54,713.50/82,102.52 = 23,121.52/x
  3. Step 3: Cross multiply
    54,713.50x = 82,102.52 × 23,121.52
  4. Step 4: Simplify right side
    54,713.50x = 1,898,335,058.23
  5. Step 5: Solve for x
    x = 1,898,335,058.23/54,713.50
  6. Step 6: Final answer
    x = 34,695.92

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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.