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Finding the Fourth Proportional to 31,246.54, 46,849.02 and 17,213.17

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Solution

The fourth proportional to 31,246.54, 46,849.02 and 17,213.17 is: 25,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,246.54 : 46,849.02 = 17,213.17 : x
  2. Step 2: Convert to fraction form
    31,246.54/46,849.02 = 17,213.17/x
  3. Step 3: Cross multiply
    31,246.54x = 46,849.02 × 17,213.17
  4. Step 4: Simplify right side
    31,246.54x = 806,420,145.59
  5. Step 5: Solve for x
    x = 806,420,145.59/31,246.54
  6. Step 6: Final answer
    x = 25,808.30

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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.