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Finding the Fourth Proportional to 31,862.90, 47,795.16 and 17,815.07

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Solution

The fourth proportional to 31,862.90, 47,795.16 and 17,815.07 is: 26,723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.90 : 47,795.16 = 17,815.07 : x
  2. Step 2: Convert to fraction form
    31,862.90/47,795.16 = 17,815.07/x
  3. Step 3: Cross multiply
    31,862.90x = 47,795.16 × 17,815.07
  4. Step 4: Simplify right side
    31,862.90x = 851,474,121.06
  5. Step 5: Solve for x
    x = 851,474,121.06/31,862.90
  6. Step 6: Final answer
    x = 26,723.06

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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.