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Finding the Fourth Proportional to 24,801.50, 37,204.64 and 8,161.58

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Solution

The fourth proportional to 24,801.50, 37,204.64 and 8,161.58 is: 12,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.50 : 37,204.64 = 8,161.58 : x
  2. Step 2: Convert to fraction form
    24,801.50/37,204.64 = 8,161.58/x
  3. Step 3: Cross multiply
    24,801.50x = 37,204.64 × 8,161.58
  4. Step 4: Simplify right side
    24,801.50x = 303,648,645.73
  5. Step 5: Solve for x
    x = 303,648,645.73/24,801.50
  6. Step 6: Final answer
    x = 12,243.16

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1.5x scale

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.