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Finding the Fourth Proportional to 31,615.32, 47,425.71 and 8,241.75

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Solution

The fourth proportional to 31,615.32, 47,425.71 and 8,241.75 is: 12,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.32 : 47,425.71 = 8,241.75 : x
  2. Step 2: Convert to fraction form
    31,615.32/47,425.71 = 8,241.75/x
  3. Step 3: Cross multiply
    31,615.32x = 47,425.71 × 8,241.75
  4. Step 4: Simplify right side
    31,615.32x = 390,870,845.39
  5. Step 5: Solve for x
    x = 390,870,845.39/31,615.32
  6. Step 6: Final answer
    x = 12,363.34

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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.