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Finding the Fourth Proportional to 83,559.33, 115,314.17 and 47,755.17

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Solution

The fourth proportional to 83,559.33, 115,314.17 and 47,755.17 is: 65,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,559.33 : 115,314.17 = 47,755.17 : x
  2. Step 2: Convert to fraction form
    83,559.33/115,314.17 = 47,755.17/x
  3. Step 3: Cross multiply
    83,559.33x = 115,314.17 × 47,755.17
  4. Step 4: Simplify right side
    83,559.33x = 5,506,847,552.98
  5. Step 5: Solve for x
    x = 5,506,847,552.98/83,559.33
  6. Step 6: Final answer
    x = 65,903.44

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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.