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Finding the Fourth Proportional to 31,767, 43,838.46 and 17,622.78

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Solution

The fourth proportional to 31,767, 43,838.46 and 17,622.78 is: 24,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767 : 43,838.46 = 17,622.78 : x
  2. Step 2: Convert to fraction form
    31,767/43,838.46 = 17,622.78/x
  3. Step 3: Cross multiply
    31,767x = 43,838.46 × 17,622.78
  4. Step 4: Simplify right side
    31,767x = 772,555,536.12
  5. Step 5: Solve for x
    x = 772,555,536.12/31,767
  6. Step 6: Final answer
    x = 24,319.44

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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.