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Finding the Fourth Proportional to 33,114.72, 49,671 and 14,394.78

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Solution

The fourth proportional to 33,114.72, 49,671 and 14,394.78 is: 21,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.72 : 49,671 = 14,394.78 : x
  2. Step 2: Convert to fraction form
    33,114.72/49,671 = 14,394.78/x
  3. Step 3: Cross multiply
    33,114.72x = 49,671 × 14,394.78
  4. Step 4: Simplify right side
    33,114.72x = 715,003,117.38
  5. Step 5: Solve for x
    x = 715,003,117.38/33,114.72
  6. Step 6: Final answer
    x = 21,591.70

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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.