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Finding the Fourth Proportional to 47,478.62, 65,519.38 and 26,257.43

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Solution

The fourth proportional to 47,478.62, 65,519.38 and 26,257.43 is: 36,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,478.62 : 65,519.38 = 26,257.43 : x
  2. Step 2: Convert to fraction form
    47,478.62/65,519.38 = 26,257.43/x
  3. Step 3: Cross multiply
    47,478.62x = 65,519.38 × 26,257.43
  4. Step 4: Simplify right side
    47,478.62x = 1,720,370,730.61
  5. Step 5: Solve for x
    x = 1,720,370,730.61/47,478.62
  6. Step 6: Final answer
    x = 36,234.64

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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.