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Finding the Fourth Proportional to 31,615.40, 47,447.52 and 11,911.88

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Solution

The fourth proportional to 31,615.40, 47,447.52 and 11,911.88 is: 17,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.40 : 47,447.52 = 11,911.88 : x
  2. Step 2: Convert to fraction form
    31,615.40/47,447.52 = 11,911.88/x
  3. Step 3: Cross multiply
    31,615.40x = 47,447.52 × 11,911.88
  4. Step 4: Simplify right side
    31,615.40x = 565,189,164.54
  5. Step 5: Solve for x
    x = 565,189,164.54/31,615.40
  6. Step 6: Final answer
    x = 17,877.02

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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.