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Finding the Fourth Proportional to 47,675, 65,791.28 and 26,454.21

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Solution

The fourth proportional to 47,675, 65,791.28 and 26,454.21 is: 36,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,675 : 65,791.28 = 26,454.21 : x
  2. Step 2: Convert to fraction form
    47,675/65,791.28 = 26,454.21/x
  3. Step 3: Cross multiply
    47,675x = 65,791.28 × 26,454.21
  4. Step 4: Simplify right side
    47,675x = 1,740,456,337.29
  5. Step 5: Solve for x
    x = 1,740,456,337.29/47,675
  6. Step 6: Final answer
    x = 36,506.69

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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.