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Finding the Fourth Proportional to 110,615.48, 165,900.90 and 31,708.52

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Solution

The fourth proportional to 110,615.48, 165,900.90 and 31,708.52 is: 47,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,615.48 : 165,900.90 = 31,708.52 : x
  2. Step 2: Convert to fraction form
    110,615.48/165,900.90 = 31,708.52/x
  3. Step 3: Cross multiply
    110,615.48x = 165,900.90 × 31,708.52
  4. Step 4: Simplify right side
    110,615.48x = 5,260,472,005.67
  5. Step 5: Solve for x
    x = 5,260,472,005.67/110,615.48
  6. Step 6: Final answer
    x = 47,556.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.