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Finding the Fourth Proportional to 31,504.65, 47,266.19 and 9,318.61

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Solution

The fourth proportional to 31,504.65, 47,266.19 and 9,318.61 is: 13,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.65 : 47,266.19 = 9,318.61 : x
  2. Step 2: Convert to fraction form
    31,504.65/47,266.19 = 9,318.61/x
  3. Step 3: Cross multiply
    31,504.65x = 47,266.19 × 9,318.61
  4. Step 4: Simplify right side
    31,504.65x = 440,455,190.80
  5. Step 5: Solve for x
    x = 440,455,190.80/31,504.65
  6. Step 6: Final answer
    x = 13,980.64

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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.