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Finding the Fourth Proportional to 36,577.40, 54,866.10 and 10,286.60

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Solution

The fourth proportional to 36,577.40, 54,866.10 and 10,286.60 is: 15,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,577.40 : 54,866.10 = 10,286.60 : x
  2. Step 2: Convert to fraction form
    36,577.40/54,866.10 = 10,286.60/x
  3. Step 3: Cross multiply
    36,577.40x = 54,866.10 × 10,286.60
  4. Step 4: Simplify right side
    36,577.40x = 564,385,624.26
  5. Step 5: Solve for x
    x = 564,385,624.26/36,577.40
  6. Step 6: Final answer
    x = 15,429.90

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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.