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Finding the Fourth Proportional to 31,462.75, 43,408.82 and 17,848.55

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Solution

The fourth proportional to 31,462.75, 43,408.82 and 17,848.55 is: 24,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.75 : 43,408.82 = 17,848.55 : x
  2. Step 2: Convert to fraction form
    31,462.75/43,408.82 = 17,848.55/x
  3. Step 3: Cross multiply
    31,462.75x = 43,408.82 × 17,848.55
  4. Step 4: Simplify right side
    31,462.75x = 774,784,449.59
  5. Step 5: Solve for x
    x = 774,784,449.59/31,462.75
  6. Step 6: Final answer
    x = 24,625.45

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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.