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Finding the Fourth Proportional to 31,125, 42,952.50 and 19,947

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Solution

The fourth proportional to 31,125, 42,952.50 and 19,947 is: 27,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125 : 42,952.50 = 19,947 : x
  2. Step 2: Convert to fraction form
    31,125/42,952.50 = 19,947/x
  3. Step 3: Cross multiply
    31,125x = 42,952.50 × 19,947
  4. Step 4: Simplify right side
    31,125x = 856,773,517.50
  5. Step 5: Solve for x
    x = 856,773,517.50/31,125
  6. Step 6: Final answer
    x = 27,526.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.