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Finding the Fourth Proportional to 38,800.32, 58,217.76 and 20,328

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Solution

The fourth proportional to 38,800.32, 58,217.76 and 20,328 is: 30,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,800.32 : 58,217.76 = 20,328 : x
  2. Step 2: Convert to fraction form
    38,800.32/58,217.76 = 20,328/x
  3. Step 3: Cross multiply
    38,800.32x = 58,217.76 × 20,328
  4. Step 4: Simplify right side
    38,800.32x = 1,183,450,625.28
  5. Step 5: Solve for x
    x = 1,183,450,625.28/38,800.32
  6. Step 6: Final answer
    x = 30,501.05

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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.