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Finding the Fourth Proportional to 32,493.74, 48,743.19 and 12,512.90

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Solution

The fourth proportional to 32,493.74, 48,743.19 and 12,512.90 is: 18,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.74 : 48,743.19 = 12,512.90 : x
  2. Step 2: Convert to fraction form
    32,493.74/48,743.19 = 12,512.90/x
  3. Step 3: Cross multiply
    32,493.74x = 48,743.19 × 12,512.90
  4. Step 4: Simplify right side
    32,493.74x = 609,918,662.15
  5. Step 5: Solve for x
    x = 609,918,662.15/32,493.74
  6. Step 6: Final answer
    x = 18,770.34

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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.