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Finding the Fourth Proportional to 38,553.40, 57,830.10 and 13,621.60

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Solution

The fourth proportional to 38,553.40, 57,830.10 and 13,621.60 is: 20,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,553.40 : 57,830.10 = 13,621.60 : x
  2. Step 2: Convert to fraction form
    38,553.40/57,830.10 = 13,621.60/x
  3. Step 3: Cross multiply
    38,553.40x = 57,830.10 × 13,621.60
  4. Step 4: Simplify right side
    38,553.40x = 787,738,490.16
  5. Step 5: Solve for x
    x = 787,738,490.16/38,553.40
  6. Step 6: Final answer
    x = 20,432.40

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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.