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Finding the Fourth Proportional to 36,463.20, 54,647.40 and 16,458

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Solution

The fourth proportional to 36,463.20, 54,647.40 and 16,458 is: 24,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,463.20 : 54,647.40 = 16,458 : x
  2. Step 2: Convert to fraction form
    36,463.20/54,647.40 = 16,458/x
  3. Step 3: Cross multiply
    36,463.20x = 54,647.40 × 16,458
  4. Step 4: Simplify right side
    36,463.20x = 899,386,909.20
  5. Step 5: Solve for x
    x = 899,386,909.20/36,463.20
  6. Step 6: Final answer
    x = 24,665.61

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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.