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Finding the Fourth Proportional to 38,388.80, 57,551.20 and 16,219.20

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Solution

The fourth proportional to 38,388.80, 57,551.20 and 16,219.20 is: 24,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,388.80 : 57,551.20 = 16,219.20 : x
  2. Step 2: Convert to fraction form
    38,388.80/57,551.20 = 16,219.20/x
  3. Step 3: Cross multiply
    38,388.80x = 57,551.20 × 16,219.20
  4. Step 4: Simplify right side
    38,388.80x = 933,434,423.04
  5. Step 5: Solve for x
    x = 933,434,423.04/38,388.80
  6. Step 6: Final answer
    x = 24,315.28

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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.