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Finding the Fourth Proportional to 71,775.75, 107,663.67 and 32,286.74

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Solution

The fourth proportional to 71,775.75, 107,663.67 and 32,286.74 is: 48,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,775.75 : 107,663.67 = 32,286.74 : x
  2. Step 2: Convert to fraction form
    71,775.75/107,663.67 = 32,286.74/x
  3. Step 3: Cross multiply
    71,775.75x = 107,663.67 × 32,286.74
  4. Step 4: Simplify right side
    71,775.75x = 3,476,108,382.42
  5. Step 5: Solve for x
    x = 3,476,108,382.42/71,775.75
  6. Step 6: Final answer
    x = 48,430.12

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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.