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Finding the Fourth Proportional to 95,632, 131,972.16 and 55,888

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Solution

The fourth proportional to 95,632, 131,972.16 and 55,888 is: 77,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,632 : 131,972.16 = 55,888 : x
  2. Step 2: Convert to fraction form
    95,632/131,972.16 = 55,888/x
  3. Step 3: Cross multiply
    95,632x = 131,972.16 × 55,888
  4. Step 4: Simplify right side
    95,632x = 7,375,660,078.08
  5. Step 5: Solve for x
    x = 7,375,660,078.08/95,632
  6. Step 6: Final answer
    x = 77,125.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.