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Finding the Fourth Proportional to 57,295.72, 85,976.94 and 24,013

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Solution

The fourth proportional to 57,295.72, 85,976.94 and 24,013 is: 36,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,295.72 : 85,976.94 = 24,013 : x
  2. Step 2: Convert to fraction form
    57,295.72/85,976.94 = 24,013/x
  3. Step 3: Cross multiply
    57,295.72x = 85,976.94 × 24,013
  4. Step 4: Simplify right side
    57,295.72x = 2,064,564,260.22
  5. Step 5: Solve for x
    x = 2,064,564,260.22/57,295.72
  6. Step 6: Final answer
    x = 36,033.48

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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.