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Finding the Fourth Proportional to 31,956.66, 47,933.25 and 9,770.03

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Solution

The fourth proportional to 31,956.66, 47,933.25 and 9,770.03 is: 14,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.66 : 47,933.25 = 9,770.03 : x
  2. Step 2: Convert to fraction form
    31,956.66/47,933.25 = 9,770.03/x
  3. Step 3: Cross multiply
    31,956.66x = 47,933.25 × 9,770.03
  4. Step 4: Simplify right side
    31,956.66x = 468,309,290.50
  5. Step 5: Solve for x
    x = 468,309,290.50/31,956.66
  6. Step 6: Final answer
    x = 14,654.51

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Why These Related Problems?

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