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Finding the Fourth Proportional to 47,774.97, 65,947.35 and 35,872.70

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Solution

The fourth proportional to 47,774.97, 65,947.35 and 35,872.70 is: 49,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,774.97 : 65,947.35 = 35,872.70 : x
  2. Step 2: Convert to fraction form
    47,774.97/65,947.35 = 35,872.70/x
  3. Step 3: Cross multiply
    47,774.97x = 65,947.35 × 35,872.70
  4. Step 4: Simplify right side
    47,774.97x = 2,365,709,172.61
  5. Step 5: Solve for x
    x = 2,365,709,172.61/47,774.97
  6. Step 6: Final answer
    x = 49,517.75

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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.