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Finding the Fourth Proportional to 47,101.86, 65,000.70 and 25,882.20

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Solution

The fourth proportional to 47,101.86, 65,000.70 and 25,882.20 is: 35,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101.86 : 65,000.70 = 25,882.20 : x
  2. Step 2: Convert to fraction form
    47,101.86/65,000.70 = 25,882.20/x
  3. Step 3: Cross multiply
    47,101.86x = 65,000.70 × 25,882.20
  4. Step 4: Simplify right side
    47,101.86x = 1,682,361,117.54
  5. Step 5: Solve for x
    x = 1,682,361,117.54/47,101.86
  6. Step 6: Final answer
    x = 35,717.51

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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.