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Finding the Fourth Proportional to 47,103.12, 65,002.52 and 25,882.80

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Solution

The fourth proportional to 47,103.12, 65,002.52 and 25,882.80 is: 35,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,103.12 : 65,002.52 = 25,882.80 : x
  2. Step 2: Convert to fraction form
    47,103.12/65,002.52 = 25,882.80/x
  3. Step 3: Cross multiply
    47,103.12x = 65,002.52 × 25,882.80
  4. Step 4: Simplify right side
    47,103.12x = 1,682,447,224.66
  5. Step 5: Solve for x
    x = 1,682,447,224.66/47,103.12
  6. Step 6: Final answer
    x = 35,718.38

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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.