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Finding the Fourth Proportional to 83,591.94, 115,365.15 and 47,787.12

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Solution

The fourth proportional to 83,591.94, 115,365.15 and 47,787.12 is: 65,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,591.94 : 115,365.15 = 47,787.12 : x
  2. Step 2: Convert to fraction form
    83,591.94/115,365.15 = 47,787.12/x
  3. Step 3: Cross multiply
    83,591.94x = 115,365.15 × 47,787.12
  4. Step 4: Simplify right side
    83,591.94x = 5,512,968,266.87
  5. Step 5: Solve for x
    x = 5,512,968,266.87/83,591.94
  6. Step 6: Final answer
    x = 65,950.95

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1.5x scale

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.