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Finding the Fourth Proportional to 33,146.62, 49,718.31 and 12,368.50

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Solution

The fourth proportional to 33,146.62, 49,718.31 and 12,368.50 is: 18,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146.62 : 49,718.31 = 12,368.50 : x
  2. Step 2: Convert to fraction form
    33,146.62/49,718.31 = 12,368.50/x
  3. Step 3: Cross multiply
    33,146.62x = 49,718.31 × 12,368.50
  4. Step 4: Simplify right side
    33,146.62x = 614,940,917.24
  5. Step 5: Solve for x
    x = 614,940,917.24/33,146.62
  6. Step 6: Final answer
    x = 18,552.15

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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.