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Finding the Fourth Proportional to 31,853.58, 47,780.43 and 9,667.14

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Solution

The fourth proportional to 31,853.58, 47,780.43 and 9,667.14 is: 14,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.58 : 47,780.43 = 9,667.14 : x
  2. Step 2: Convert to fraction form
    31,853.58/47,780.43 = 9,667.14/x
  3. Step 3: Cross multiply
    31,853.58x = 47,780.43 × 9,667.14
  4. Step 4: Simplify right side
    31,853.58x = 461,900,106.07
  5. Step 5: Solve for x
    x = 461,900,106.07/31,853.58
  6. Step 6: Final answer
    x = 14,500.73

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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.