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Finding the Fourth Proportional to 31,753.50, 43,816.05 and 17,604.42

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Solution

The fourth proportional to 31,753.50, 43,816.05 and 17,604.42 is: 24,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.50 : 43,816.05 = 17,604.42 : x
  2. Step 2: Convert to fraction form
    31,753.50/43,816.05 = 17,604.42/x
  3. Step 3: Cross multiply
    31,753.50x = 43,816.05 × 17,604.42
  4. Step 4: Simplify right side
    31,753.50x = 771,356,146.94
  5. Step 5: Solve for x
    x = 771,356,146.94/31,753.50
  6. Step 6: Final answer
    x = 24,292.00

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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.