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Finding the Fourth Proportional to 47,105.76, 65,002.80 and 25,884

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Solution

The fourth proportional to 47,105.76, 65,002.80 and 25,884 is: 35,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,105.76 : 65,002.80 = 25,884 : x
  2. Step 2: Convert to fraction form
    47,105.76/65,002.80 = 25,884/x
  3. Step 3: Cross multiply
    47,105.76x = 65,002.80 × 25,884
  4. Step 4: Simplify right side
    47,105.76x = 1,682,532,475.20
  5. Step 5: Solve for x
    x = 1,682,532,475.20/47,105.76
  6. Step 6: Final answer
    x = 35,718.19

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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.