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Finding the Fourth Proportional to 37,794.72, 52,166.16 and 21,888.84

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Solution

The fourth proportional to 37,794.72, 52,166.16 and 21,888.84 is: 30,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,794.72 : 52,166.16 = 21,888.84 : x
  2. Step 2: Convert to fraction form
    37,794.72/52,166.16 = 21,888.84/x
  3. Step 3: Cross multiply
    37,794.72x = 52,166.16 × 21,888.84
  4. Step 4: Simplify right side
    37,794.72x = 1,141,856,729.65
  5. Step 5: Solve for x
    x = 1,141,856,729.65/37,794.72
  6. Step 6: Final answer
    x = 30,212.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.