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Finding the Fourth Proportional to 31,698.30, 47,556.45 and 15,884.27

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Solution

The fourth proportional to 31,698.30, 47,556.45 and 15,884.27 is: 23,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.30 : 47,556.45 = 15,884.27 : x
  2. Step 2: Convert to fraction form
    31,698.30/47,556.45 = 15,884.27/x
  3. Step 3: Cross multiply
    31,698.30x = 47,556.45 × 15,884.27
  4. Step 4: Simplify right side
    31,698.30x = 755,399,254.26
  5. Step 5: Solve for x
    x = 755,399,254.26/31,698.30
  6. Step 6: Final answer
    x = 23,830.91

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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.