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Finding the Fourth Proportional to 36,031.50, 49,719.42 and 20,922.30

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Solution

The fourth proportional to 36,031.50, 49,719.42 and 20,922.30 is: 28,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,031.50 : 49,719.42 = 20,922.30 : x
  2. Step 2: Convert to fraction form
    36,031.50/49,719.42 = 20,922.30/x
  3. Step 3: Cross multiply
    36,031.50x = 49,719.42 × 20,922.30
  4. Step 4: Simplify right side
    36,031.50x = 1,040,244,621.07
  5. Step 5: Solve for x
    x = 1,040,244,621.07/36,031.50
  6. Step 6: Final answer
    x = 28,870.42

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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.