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Finding the Fourth Proportional to 31,213.27, 46,822.99 and 9,026.16

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Solution

The fourth proportional to 31,213.27, 46,822.99 and 9,026.16 is: 13,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,213.27 : 46,822.99 = 9,026.16 : x
  2. Step 2: Convert to fraction form
    31,213.27/46,822.99 = 9,026.16/x
  3. Step 3: Cross multiply
    31,213.27x = 46,822.99 × 9,026.16
  4. Step 4: Simplify right side
    31,213.27x = 422,631,724.49
  5. Step 5: Solve for x
    x = 422,631,724.49/31,213.27
  6. Step 6: Final answer
    x = 13,540.13

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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.