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Finding the Fourth Proportional to 33,091.65, 45,621.76 and 22,462.83

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Solution

The fourth proportional to 33,091.65, 45,621.76 and 22,462.83 is: 30,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,091.65 : 45,621.76 = 22,462.83 : x
  2. Step 2: Convert to fraction form
    33,091.65/45,621.76 = 22,462.83/x
  3. Step 3: Cross multiply
    33,091.65x = 45,621.76 × 22,462.83
  4. Step 4: Simplify right side
    33,091.65x = 1,024,793,726.87
  5. Step 5: Solve for x
    x = 1,024,793,726.87/33,091.65
  6. Step 6: Final answer
    x = 30,968.35

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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.