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Finding the Fourth Proportional to 83,596.98, 115,363.82 and 47,787.76

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Solution

The fourth proportional to 83,596.98, 115,363.82 and 47,787.76 is: 65,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.98 : 115,363.82 = 47,787.76 : x
  2. Step 2: Convert to fraction form
    83,596.98/115,363.82 = 47,787.76/x
  3. Step 3: Cross multiply
    83,596.98x = 115,363.82 × 47,787.76
  4. Step 4: Simplify right side
    83,596.98x = 5,512,978,542.84
  5. Step 5: Solve for x
    x = 5,512,978,542.84/83,596.98
  6. Step 6: Final answer
    x = 65,947.10

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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.