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Finding the Fourth Proportional to 33,146.12, 49,717.56 and 12,368

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Solution

The fourth proportional to 33,146.12, 49,717.56 and 12,368 is: 18,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146.12 : 49,717.56 = 12,368 : x
  2. Step 2: Convert to fraction form
    33,146.12/49,717.56 = 12,368/x
  3. Step 3: Cross multiply
    33,146.12x = 49,717.56 × 12,368
  4. Step 4: Simplify right side
    33,146.12x = 614,906,782.08
  5. Step 5: Solve for x
    x = 614,906,782.08/33,146.12
  6. Step 6: Final answer
    x = 18,551.40

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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.