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Finding the Fourth Proportional to 32,519.76, 48,768.84 and 12,793.20

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Solution

The fourth proportional to 32,519.76, 48,768.84 and 12,793.20 is: 19,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,519.76 : 48,768.84 = 12,793.20 : x
  2. Step 2: Convert to fraction form
    32,519.76/48,768.84 = 12,793.20/x
  3. Step 3: Cross multiply
    32,519.76x = 48,768.84 × 12,793.20
  4. Step 4: Simplify right side
    32,519.76x = 623,909,523.89
  5. Step 5: Solve for x
    x = 623,909,523.89/32,519.76
  6. Step 6: Final answer
    x = 19,185.55

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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.