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Finding the Fourth Proportional to 47,815.20, 65,983.20 and 26,594

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Solution

The fourth proportional to 47,815.20, 65,983.20 and 26,594 is: 36,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,815.20 : 65,983.20 = 26,594 : x
  2. Step 2: Convert to fraction form
    47,815.20/65,983.20 = 26,594/x
  3. Step 3: Cross multiply
    47,815.20x = 65,983.20 × 26,594
  4. Step 4: Simplify right side
    47,815.20x = 1,754,757,220.80
  5. Step 5: Solve for x
    x = 1,754,757,220.80/47,815.20
  6. Step 6: Final answer
    x = 36,698.73

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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.