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Finding the Fourth Proportional to 36,478.53, 54,677.70 and 14,287.77

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Solution

The fourth proportional to 36,478.53, 54,677.70 and 14,287.77 is: 21,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478.53 : 54,677.70 = 14,287.77 : x
  2. Step 2: Convert to fraction form
    36,478.53/54,677.70 = 14,287.77/x
  3. Step 3: Cross multiply
    36,478.53x = 54,677.70 × 14,287.77
  4. Step 4: Simplify right side
    36,478.53x = 781,222,401.73
  5. Step 5: Solve for x
    x = 781,222,401.73/36,478.53
  6. Step 6: Final answer
    x = 21,415.95

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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.