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Finding the Fourth Proportional to 33,213.15, 49,785.12 and 14,488.16

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Solution

The fourth proportional to 33,213.15, 49,785.12 and 14,488.16 is: 21,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,213.15 : 49,785.12 = 14,488.16 : x
  2. Step 2: Convert to fraction form
    33,213.15/49,785.12 = 14,488.16/x
  3. Step 3: Cross multiply
    33,213.15x = 49,785.12 × 14,488.16
  4. Step 4: Simplify right side
    33,213.15x = 721,294,535.25
  5. Step 5: Solve for x
    x = 721,294,535.25/33,213.15
  6. Step 6: Final answer
    x = 21,717.14

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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.