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Finding the Fourth Proportional to 80,696, 111,360.48 and 47,162.24

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Solution

The fourth proportional to 80,696, 111,360.48 and 47,162.24 is: 65,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,696 : 111,360.48 = 47,162.24 : x
  2. Step 2: Convert to fraction form
    80,696/111,360.48 = 47,162.24/x
  3. Step 3: Cross multiply
    80,696x = 111,360.48 × 47,162.24
  4. Step 4: Simplify right side
    80,696x = 5,252,009,684.28
  5. Step 5: Solve for x
    x = 5,252,009,684.28/80,696
  6. Step 6: Final answer
    x = 65,083.89

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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.