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Finding the Fourth Proportional to 36,448.46, 54,689.35 and 16,463.30

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Solution

The fourth proportional to 36,448.46, 54,689.35 and 16,463.30 is: 24,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,448.46 : 54,689.35 = 16,463.30 : x
  2. Step 2: Convert to fraction form
    36,448.46/54,689.35 = 16,463.30/x
  3. Step 3: Cross multiply
    36,448.46x = 54,689.35 × 16,463.30
  4. Step 4: Simplify right side
    36,448.46x = 900,367,073.01
  5. Step 5: Solve for x
    x = 900,367,073.01/36,448.46
  6. Step 6: Final answer
    x = 24,702.47

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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.