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Finding the Fourth Proportional to 36,230.30, 54,355.05 and 12,854.30

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Solution

The fourth proportional to 36,230.30, 54,355.05 and 12,854.30 is: 19,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,230.30 : 54,355.05 = 12,854.30 : x
  2. Step 2: Convert to fraction form
    36,230.30/54,355.05 = 12,854.30/x
  3. Step 3: Cross multiply
    36,230.30x = 54,355.05 × 12,854.30
  4. Step 4: Simplify right side
    36,230.30x = 698,696,119.22
  5. Step 5: Solve for x
    x = 698,696,119.22/36,230.30
  6. Step 6: Final answer
    x = 19,284.86

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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.