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Finding the Fourth Proportional to 31,805.84, 43,891.44 and 17,658.38

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Solution

The fourth proportional to 31,805.84, 43,891.44 and 17,658.38 is: 24,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.84 : 43,891.44 = 17,658.38 : x
  2. Step 2: Convert to fraction form
    31,805.84/43,891.44 = 17,658.38/x
  3. Step 3: Cross multiply
    31,805.84x = 43,891.44 × 17,658.38
  4. Step 4: Simplify right side
    31,805.84x = 775,051,726.27
  5. Step 5: Solve for x
    x = 775,051,726.27/31,805.84
  6. Step 6: Final answer
    x = 24,368.22

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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.