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Finding the Fourth Proportional to 83,619.92, 115,356.48 and 51,777.20

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Solution

The fourth proportional to 83,619.92, 115,356.48 and 51,777.20 is: 71,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,619.92 : 115,356.48 = 51,777.20 : x
  2. Step 2: Convert to fraction form
    83,619.92/115,356.48 = 51,777.20/x
  3. Step 3: Cross multiply
    83,619.92x = 115,356.48 × 51,777.20
  4. Step 4: Simplify right side
    83,619.92x = 5,972,835,536.26
  5. Step 5: Solve for x
    x = 5,972,835,536.26/83,619.92
  6. Step 6: Final answer
    x = 71,428.38

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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.