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Finding the Fourth Proportional to 83,817.98, 115,640.50 and 47,515.53

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Solution

The fourth proportional to 83,817.98, 115,640.50 and 47,515.53 is: 65,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,817.98 : 115,640.50 = 47,515.53 : x
  2. Step 2: Convert to fraction form
    83,817.98/115,640.50 = 47,515.53/x
  3. Step 3: Cross multiply
    83,817.98x = 115,640.50 × 47,515.53
  4. Step 4: Simplify right side
    83,817.98x = 5,494,719,646.97
  5. Step 5: Solve for x
    x = 5,494,719,646.97/83,817.98
  6. Step 6: Final answer
    x = 65,555.38

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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.