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Finding the Fourth Proportional to 32,767, 45,218.48 and 17,863

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Solution

The fourth proportional to 32,767, 45,218.48 and 17,863 is: 24,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767 : 45,218.48 = 17,863 : x
  2. Step 2: Convert to fraction form
    32,767/45,218.48 = 17,863/x
  3. Step 3: Cross multiply
    32,767x = 45,218.48 × 17,863
  4. Step 4: Simplify right side
    32,767x = 807,737,708.24
  5. Step 5: Solve for x
    x = 807,737,708.24/32,767
  6. Step 6: Final answer
    x = 24,650.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.