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Finding the Fourth Proportional to 38,471.04, 57,713.58 and 17,694

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Solution

The fourth proportional to 38,471.04, 57,713.58 and 17,694 is: 26,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.04 : 57,713.58 = 17,694 : x
  2. Step 2: Convert to fraction form
    38,471.04/57,713.58 = 17,694/x
  3. Step 3: Cross multiply
    38,471.04x = 57,713.58 × 17,694
  4. Step 4: Simplify right side
    38,471.04x = 1,021,184,084.52
  5. Step 5: Solve for x
    x = 1,021,184,084.52/38,471.04
  6. Step 6: Final answer
    x = 26,544.23

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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.