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Finding the Fourth Proportional to 31,991.40, 47,987.34 and 12,265.26

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Solution

The fourth proportional to 31,991.40, 47,987.34 and 12,265.26 is: 18,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.40 : 47,987.34 = 12,265.26 : x
  2. Step 2: Convert to fraction form
    31,991.40/47,987.34 = 12,265.26/x
  3. Step 3: Cross multiply
    31,991.40x = 47,987.34 × 12,265.26
  4. Step 4: Simplify right side
    31,991.40x = 588,577,201.81
  5. Step 5: Solve for x
    x = 588,577,201.81/31,991.40
  6. Step 6: Final answer
    x = 18,397.98

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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.