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Finding the Fourth Proportional to 83,356.96, 125,048.40 and 27,940

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Solution

The fourth proportional to 83,356.96, 125,048.40 and 27,940 is: 41,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,356.96 : 125,048.40 = 27,940 : x
  2. Step 2: Convert to fraction form
    83,356.96/125,048.40 = 27,940/x
  3. Step 3: Cross multiply
    83,356.96x = 125,048.40 × 27,940
  4. Step 4: Simplify right side
    83,356.96x = 3,493,852,296
  5. Step 5: Solve for x
    x = 3,493,852,296/83,356.96
  6. Step 6: Final answer
    x = 41,914.34

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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.