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Finding the Fourth Proportional to 31,771.74, 43,843.77 and 17,624.34

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Solution

The fourth proportional to 31,771.74, 43,843.77 and 17,624.34 is: 24,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.74 : 43,843.77 = 17,624.34 : x
  2. Step 2: Convert to fraction form
    31,771.74/43,843.77 = 17,624.34/x
  3. Step 3: Cross multiply
    31,771.74x = 43,843.77 × 17,624.34
  4. Step 4: Simplify right side
    31,771.74x = 772,717,509.36
  5. Step 5: Solve for x
    x = 772,717,509.36/31,771.74
  6. Step 6: Final answer
    x = 24,320.91

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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.