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Finding the Fourth Proportional to 31,497.65, 47,230.07 and 11,759.98

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Solution

The fourth proportional to 31,497.65, 47,230.07 and 11,759.98 is: 17,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.65 : 47,230.07 = 11,759.98 : x
  2. Step 2: Convert to fraction form
    31,497.65/47,230.07 = 11,759.98/x
  3. Step 3: Cross multiply
    31,497.65x = 47,230.07 × 11,759.98
  4. Step 4: Simplify right side
    31,497.65x = 555,424,678.60
  5. Step 5: Solve for x
    x = 555,424,678.60/31,497.65
  6. Step 6: Final answer
    x = 17,633.85

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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.