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Finding the Fourth Proportional to 47,546.28, 65,616.12 and 28,683

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Solution

The fourth proportional to 47,546.28, 65,616.12 and 28,683 is: 39,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,546.28 : 65,616.12 = 28,683 : x
  2. Step 2: Convert to fraction form
    47,546.28/65,616.12 = 28,683/x
  3. Step 3: Cross multiply
    47,546.28x = 65,616.12 × 28,683
  4. Step 4: Simplify right side
    47,546.28x = 1,882,067,169.96
  5. Step 5: Solve for x
    x = 1,882,067,169.96/47,546.28
  6. Step 6: Final answer
    x = 39,583.90

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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.