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Finding the Fourth Proportional to 32,751.60, 49,200.30 and 31,512.30

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Solution

The fourth proportional to 32,751.60, 49,200.30 and 31,512.30 is: 47,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751.60 : 49,200.30 = 31,512.30 : x
  2. Step 2: Convert to fraction form
    32,751.60/49,200.30 = 31,512.30/x
  3. Step 3: Cross multiply
    32,751.60x = 49,200.30 × 31,512.30
  4. Step 4: Simplify right side
    32,751.60x = 1,550,414,613.69
  5. Step 5: Solve for x
    x = 1,550,414,613.69/32,751.60
  6. Step 6: Final answer
    x = 47,338.59

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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.