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Finding the Fourth Proportional to 47,163, 70,713.90 and 24,986.82

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Solution

The fourth proportional to 47,163, 70,713.90 and 24,986.82 is: 37,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,163 : 70,713.90 = 24,986.82 : x
  2. Step 2: Convert to fraction form
    47,163/70,713.90 = 24,986.82/x
  3. Step 3: Cross multiply
    47,163x = 70,713.90 × 24,986.82
  4. Step 4: Simplify right side
    47,163x = 1,766,915,490.80
  5. Step 5: Solve for x
    x = 1,766,915,490.80/47,163
  6. Step 6: Final answer
    x = 37,464.02

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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.