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Finding the Fourth Proportional to 31,710.75, 43,759.08 and 17,562.48

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Solution

The fourth proportional to 31,710.75, 43,759.08 and 17,562.48 is: 24,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.75 : 43,759.08 = 17,562.48 : x
  2. Step 2: Convert to fraction form
    31,710.75/43,759.08 = 17,562.48/x
  3. Step 3: Cross multiply
    31,710.75x = 43,759.08 × 17,562.48
  4. Step 4: Simplify right side
    31,710.75x = 768,517,967.32
  5. Step 5: Solve for x
    x = 768,517,967.32/31,710.75
  6. Step 6: Final answer
    x = 24,235.25

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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.