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Finding the Fourth Proportional to 33,131.06, 49,668.50 and 14,397

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Solution

The fourth proportional to 33,131.06, 49,668.50 and 14,397 is: 21,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,131.06 : 49,668.50 = 14,397 : x
  2. Step 2: Convert to fraction form
    33,131.06/49,668.50 = 14,397/x
  3. Step 3: Cross multiply
    33,131.06x = 49,668.50 × 14,397
  4. Step 4: Simplify right side
    33,131.06x = 715,077,394.50
  5. Step 5: Solve for x
    x = 715,077,394.50/33,131.06
  6. Step 6: Final answer
    x = 21,583.29

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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.