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Finding the Fourth Proportional to 31,805.66, 43,893.18 and 17,658.50

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Solution

The fourth proportional to 31,805.66, 43,893.18 and 17,658.50 is: 24,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.66 : 43,893.18 = 17,658.50 : x
  2. Step 2: Convert to fraction form
    31,805.66/43,893.18 = 17,658.50/x
  3. Step 3: Cross multiply
    31,805.66x = 43,893.18 × 17,658.50
  4. Step 4: Simplify right side
    31,805.66x = 775,087,630.74
  5. Step 5: Solve for x
    x = 775,087,630.74/31,805.66
  6. Step 6: Final answer
    x = 24,369.49

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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.