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Finding the Fourth Proportional to 32,481.50, 48,713.63 and 12,760.22

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Solution

The fourth proportional to 32,481.50, 48,713.63 and 12,760.22 is: 19,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.50 : 48,713.63 = 12,760.22 : x
  2. Step 2: Convert to fraction form
    32,481.50/48,713.63 = 12,760.22/x
  3. Step 3: Cross multiply
    32,481.50x = 48,713.63 × 12,760.22
  4. Step 4: Simplify right side
    32,481.50x = 621,596,693.78
  5. Step 5: Solve for x
    x = 621,596,693.78/32,481.50
  6. Step 6: Final answer
    x = 19,136.95

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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.