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Finding the Fourth Proportional to 83,880.77, 115,759.28 and 52,059.92

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Solution

The fourth proportional to 83,880.77, 115,759.28 and 52,059.92 is: 71,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,880.77 : 115,759.28 = 52,059.92 : x
  2. Step 2: Convert to fraction form
    83,880.77/115,759.28 = 52,059.92/x
  3. Step 3: Cross multiply
    83,880.77x = 115,759.28 × 52,059.92
  4. Step 4: Simplify right side
    83,880.77x = 6,026,418,595.76
  5. Step 5: Solve for x
    x = 6,026,418,595.76/83,880.77
  6. Step 6: Final answer
    x = 71,845.06

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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.