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Finding the Fourth Proportional to 33,167.32, 49,768.26 and 14,695

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Solution

The fourth proportional to 33,167.32, 49,768.26 and 14,695 is: 22,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,167.32 : 49,768.26 = 14,695 : x
  2. Step 2: Convert to fraction form
    33,167.32/49,768.26 = 14,695/x
  3. Step 3: Cross multiply
    33,167.32x = 49,768.26 × 14,695
  4. Step 4: Simplify right side
    33,167.32x = 731,344,580.70
  5. Step 5: Solve for x
    x = 731,344,580.70/33,167.32
  6. Step 6: Final answer
    x = 22,050.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.