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Finding the Fourth Proportional to 31,952.90, 47,947.26 and 18,641.36

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Solution

The fourth proportional to 31,952.90, 47,947.26 and 18,641.36 is: 27,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.90 : 47,947.26 = 18,641.36 : x
  2. Step 2: Convert to fraction form
    31,952.90/47,947.26 = 18,641.36/x
  3. Step 3: Cross multiply
    31,952.90x = 47,947.26 × 18,641.36
  4. Step 4: Simplify right side
    31,952.90x = 893,802,134.67
  5. Step 5: Solve for x
    x = 893,802,134.67/31,952.90
  6. Step 6: Final answer
    x = 27,972.49

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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.