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Finding the Fourth Proportional to 31,426.68, 47,133.39 and 9,234.03

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Solution

The fourth proportional to 31,426.68, 47,133.39 and 9,234.03 is: 13,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,426.68 : 47,133.39 = 9,234.03 : x
  2. Step 2: Convert to fraction form
    31,426.68/47,133.39 = 9,234.03/x
  3. Step 3: Cross multiply
    31,426.68x = 47,133.39 × 9,234.03
  4. Step 4: Simplify right side
    31,426.68x = 435,231,137.26
  5. Step 5: Solve for x
    x = 435,231,137.26/31,426.68
  6. Step 6: Final answer
    x = 13,849.10

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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.