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Finding the Fourth Proportional to 31,698.90, 43,745.88 and 17,551.77

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Solution

The fourth proportional to 31,698.90, 43,745.88 and 17,551.77 is: 24,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.90 : 43,745.88 = 17,551.77 : x
  2. Step 2: Convert to fraction form
    31,698.90/43,745.88 = 17,551.77/x
  3. Step 3: Cross multiply
    31,698.90x = 43,745.88 × 17,551.77
  4. Step 4: Simplify right side
    31,698.90x = 767,817,624.21
  5. Step 5: Solve for x
    x = 767,817,624.21/31,698.90
  6. Step 6: Final answer
    x = 24,222.22

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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.