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Finding the Fourth Proportional to 31,229.64, 46,843.02 and 11,506.86

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Solution

The fourth proportional to 31,229.64, 46,843.02 and 11,506.86 is: 17,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.64 : 46,843.02 = 11,506.86 : x
  2. Step 2: Convert to fraction form
    31,229.64/46,843.02 = 11,506.86/x
  3. Step 3: Cross multiply
    31,229.64x = 46,843.02 × 11,506.86
  4. Step 4: Simplify right side
    31,229.64x = 539,016,073.12
  5. Step 5: Solve for x
    x = 539,016,073.12/31,229.64
  6. Step 6: Final answer
    x = 17,259.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.