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Finding the Fourth Proportional to 31,515.43, 47,266.54 and 9,329.00

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Solution

The fourth proportional to 31,515.43, 47,266.54 and 9,329.00 is: 13,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,515.43 : 47,266.54 = 9,329.00 : x
  2. Step 2: Convert to fraction form
    31,515.43/47,266.54 = 9,329.00/x
  3. Step 3: Cross multiply
    31,515.43x = 47,266.54 × 9,329.00
  4. Step 4: Simplify right side
    31,515.43x = 440,949,424.94
  5. Step 5: Solve for x
    x = 440,949,424.94/31,515.43
  6. Step 6: Final answer
    x = 13,991.54

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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.