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Finding the Fourth Proportional to 63,138.48, 94,722.96 and 23,696

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Solution

The fourth proportional to 63,138.48, 94,722.96 and 23,696 is: 35,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,138.48 : 94,722.96 = 23,696 : x
  2. Step 2: Convert to fraction form
    63,138.48/94,722.96 = 23,696/x
  3. Step 3: Cross multiply
    63,138.48x = 94,722.96 × 23,696
  4. Step 4: Simplify right side
    63,138.48x = 2,244,555,260.16
  5. Step 5: Solve for x
    x = 2,244,555,260.16/63,138.48
  6. Step 6: Final answer
    x = 35,549.72

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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.