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Finding the Fourth Proportional to 31,463.52, 47,222.24 and 18,297.60

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Solution

The fourth proportional to 31,463.52, 47,222.24 and 18,297.60 is: 27,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463.52 : 47,222.24 = 18,297.60 : x
  2. Step 2: Convert to fraction form
    31,463.52/47,222.24 = 18,297.60/x
  3. Step 3: Cross multiply
    31,463.52x = 47,222.24 × 18,297.60
  4. Step 4: Simplify right side
    31,463.52x = 864,053,658.62
  5. Step 5: Solve for x
    x = 864,053,658.62/31,463.52
  6. Step 6: Final answer
    x = 27,462.08

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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.