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Finding the Fourth Proportional to 31,673.61, 47,512.49 and 10,615.86

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Solution

The fourth proportional to 31,673.61, 47,512.49 and 10,615.86 is: 15,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.61 : 47,512.49 = 10,615.86 : x
  2. Step 2: Convert to fraction form
    31,673.61/47,512.49 = 10,615.86/x
  3. Step 3: Cross multiply
    31,673.61x = 47,512.49 × 10,615.86
  4. Step 4: Simplify right side
    31,673.61x = 504,385,889.01
  5. Step 5: Solve for x
    x = 504,385,889.01/31,673.61
  6. Step 6: Final answer
    x = 15,924.48

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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.