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Finding the Fourth Proportional to 47,658.92, 71,461.02 and 18,057.90

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Solution

The fourth proportional to 47,658.92, 71,461.02 and 18,057.90 is: 27,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658.92 : 71,461.02 = 18,057.90 : x
  2. Step 2: Convert to fraction form
    47,658.92/71,461.02 = 18,057.90/x
  3. Step 3: Cross multiply
    47,658.92x = 71,461.02 × 18,057.90
  4. Step 4: Simplify right side
    47,658.92x = 1,290,435,953.06
  5. Step 5: Solve for x
    x = 1,290,435,953.06/47,658.92
  6. Step 6: Final answer
    x = 27,076.48

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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.