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Finding the Fourth Proportional to 71,085.98, 106,593.29 and 23,684.40

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Solution

The fourth proportional to 71,085.98, 106,593.29 and 23,684.40 is: 35,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,085.98 : 106,593.29 = 23,684.40 : x
  2. Step 2: Convert to fraction form
    71,085.98/106,593.29 = 23,684.40/x
  3. Step 3: Cross multiply
    71,085.98x = 106,593.29 × 23,684.40
  4. Step 4: Simplify right side
    71,085.98x = 2,524,597,999.25
  5. Step 5: Solve for x
    x = 2,524,597,999.25/71,085.98
  6. Step 6: Final answer
    x = 35,514.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.