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Finding the Fourth Proportional to 31,770.16, 43,843.08 and 17,623.24

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Solution

The fourth proportional to 31,770.16, 43,843.08 and 17,623.24 is: 24,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.16 : 43,843.08 = 17,623.24 : x
  2. Step 2: Convert to fraction form
    31,770.16/43,843.08 = 17,623.24/x
  3. Step 3: Cross multiply
    31,770.16x = 43,843.08 × 17,623.24
  4. Step 4: Simplify right side
    31,770.16x = 772,657,121.18
  5. Step 5: Solve for x
    x = 772,657,121.18/31,770.16
  6. Step 6: Final answer
    x = 24,320.21

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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.