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Finding the Fourth Proportional to 38,778.32, 58,184.76 and 20,306

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Solution

The fourth proportional to 38,778.32, 58,184.76 and 20,306 is: 30,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,778.32 : 58,184.76 = 20,306 : x
  2. Step 2: Convert to fraction form
    38,778.32/58,184.76 = 20,306/x
  3. Step 3: Cross multiply
    38,778.32x = 58,184.76 × 20,306
  4. Step 4: Simplify right side
    38,778.32x = 1,181,499,736.56
  5. Step 5: Solve for x
    x = 1,181,499,736.56/38,778.32
  6. Step 6: Final answer
    x = 30,468.05

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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.