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Finding the Fourth Proportional to 31,489.35, 47,241.78 and 9,302.64

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Solution

The fourth proportional to 31,489.35, 47,241.78 and 9,302.64 is: 13,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,489.35 : 47,241.78 = 9,302.64 : x
  2. Step 2: Convert to fraction form
    31,489.35/47,241.78 = 9,302.64/x
  3. Step 3: Cross multiply
    31,489.35x = 47,241.78 × 9,302.64
  4. Step 4: Simplify right side
    31,489.35x = 439,473,272.30
  5. Step 5: Solve for x
    x = 439,473,272.30/31,489.35
  6. Step 6: Final answer
    x = 13,956.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.