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Finding the Fourth Proportional to 33,012.64, 49,488.24 and 12,220

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Solution

The fourth proportional to 33,012.64, 49,488.24 and 12,220 is: 18,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.64 : 49,488.24 = 12,220 : x
  2. Step 2: Convert to fraction form
    33,012.64/49,488.24 = 12,220/x
  3. Step 3: Cross multiply
    33,012.64x = 49,488.24 × 12,220
  4. Step 4: Simplify right side
    33,012.64x = 604,746,292.80
  5. Step 5: Solve for x
    x = 604,746,292.80/33,012.64
  6. Step 6: Final answer
    x = 18,318.63

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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.