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Finding the Fourth Proportional to 47,889.15, 71,878.02 and 24,213.39

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Solution

The fourth proportional to 47,889.15, 71,878.02 and 24,213.39 is: 36,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,889.15 : 71,878.02 = 24,213.39 : x
  2. Step 2: Convert to fraction form
    47,889.15/71,878.02 = 24,213.39/x
  3. Step 3: Cross multiply
    47,889.15x = 71,878.02 × 24,213.39
  4. Step 4: Simplify right side
    47,889.15x = 1,740,410,530.69
  5. Step 5: Solve for x
    x = 1,740,410,530.69/47,889.15
  6. Step 6: Final answer
    x = 36,342.48

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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.