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Finding the Fourth Proportional to 31,497.44, 47,247.88 and 12,774.69

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Solution

The fourth proportional to 31,497.44, 47,247.88 and 12,774.69 is: 19,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.44 : 47,247.88 = 12,774.69 : x
  2. Step 2: Convert to fraction form
    31,497.44/47,247.88 = 12,774.69/x
  3. Step 3: Cross multiply
    31,497.44x = 47,247.88 × 12,774.69
  4. Step 4: Simplify right side
    31,497.44x = 603,576,988.22
  5. Step 5: Solve for x
    x = 603,576,988.22/31,497.44
  6. Step 6: Final answer
    x = 19,162.73

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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.