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Finding the Fourth Proportional to 24,729.50, 37,100.08 and 8,089.46

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Solution

The fourth proportional to 24,729.50, 37,100.08 and 8,089.46 is: 12,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729.50 : 37,100.08 = 8,089.46 : x
  2. Step 2: Convert to fraction form
    24,729.50/37,100.08 = 8,089.46/x
  3. Step 3: Cross multiply
    24,729.50x = 37,100.08 × 8,089.46
  4. Step 4: Simplify right side
    24,729.50x = 300,119,685.68
  5. Step 5: Solve for x
    x = 300,119,685.68/24,729.50
  6. Step 6: Final answer
    x = 12,136.10

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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.