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Finding the Fourth Proportional to 47,861.78, 71,807.31 and 24,504.74

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Solution

The fourth proportional to 47,861.78, 71,807.31 and 24,504.74 is: 36,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,861.78 : 71,807.31 = 24,504.74 : x
  2. Step 2: Convert to fraction form
    47,861.78/71,807.31 = 24,504.74/x
  3. Step 3: Cross multiply
    47,861.78x = 71,807.31 × 24,504.74
  4. Step 4: Simplify right side
    47,861.78x = 1,759,619,461.65
  5. Step 5: Solve for x
    x = 1,759,619,461.65/47,861.78
  6. Step 6: Final answer
    x = 36,764.61

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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.