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Finding the Fourth Proportional to 31,952.68, 47,951.42 and 13,233.04

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Solution

The fourth proportional to 31,952.68, 47,951.42 and 13,233.04 is: 19,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.68 : 47,951.42 = 13,233.04 : x
  2. Step 2: Convert to fraction form
    31,952.68/47,951.42 = 13,233.04/x
  3. Step 3: Cross multiply
    31,952.68x = 47,951.42 × 13,233.04
  4. Step 4: Simplify right side
    31,952.68x = 634,543,058.92
  5. Step 5: Solve for x
    x = 634,543,058.92/31,952.68
  6. Step 6: Final answer
    x = 19,858.84

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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.