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Finding the Fourth Proportional to 80,632, 111,272.16 and 47,098.24

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Solution

The fourth proportional to 80,632, 111,272.16 and 47,098.24 is: 64,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,632 : 111,272.16 = 47,098.24 : x
  2. Step 2: Convert to fraction form
    80,632/111,272.16 = 47,098.24/x
  3. Step 3: Cross multiply
    80,632x = 111,272.16 × 47,098.24
  4. Step 4: Simplify right side
    80,632x = 5,240,722,897.00
  5. Step 5: Solve for x
    x = 5,240,722,897.00/80,632
  6. Step 6: Final answer
    x = 64,995.57

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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.