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Finding the Fourth Proportional to 57,206.88, 78,942.24 and 32,058

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Solution

The fourth proportional to 57,206.88, 78,942.24 and 32,058 is: 44,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206.88 : 78,942.24 = 32,058 : x
  2. Step 2: Convert to fraction form
    57,206.88/78,942.24 = 32,058/x
  3. Step 3: Cross multiply
    57,206.88x = 78,942.24 × 32,058
  4. Step 4: Simplify right side
    57,206.88x = 2,530,730,329.92
  5. Step 5: Solve for x
    x = 2,530,730,329.92/57,206.88
  6. Step 6: Final answer
    x = 44,238.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.