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Finding the Fourth Proportional to 71,775.88, 107,663.86 and 32,286.86

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Solution

The fourth proportional to 71,775.88, 107,663.86 and 32,286.86 is: 48,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,775.88 : 107,663.86 = 32,286.86 : x
  2. Step 2: Convert to fraction form
    71,775.88/107,663.86 = 32,286.86/x
  3. Step 3: Cross multiply
    71,775.88x = 107,663.86 × 32,286.86
  4. Step 4: Simplify right side
    71,775.88x = 3,476,127,894.16
  5. Step 5: Solve for x
    x = 3,476,127,894.16/71,775.88
  6. Step 6: Final answer
    x = 48,430.31

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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.