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Finding the Fourth Proportional to 57,537.54, 86,211.54 and 50,058

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Solution

The fourth proportional to 57,537.54, 86,211.54 and 50,058 is: 75,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,537.54 : 86,211.54 = 50,058 : x
  2. Step 2: Convert to fraction form
    57,537.54/86,211.54 = 50,058/x
  3. Step 3: Cross multiply
    57,537.54x = 86,211.54 × 50,058
  4. Step 4: Simplify right side
    57,537.54x = 4,315,577,269.32
  5. Step 5: Solve for x
    x = 4,315,577,269.32/57,537.54
  6. Step 6: Final answer
    x = 75,004.55

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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.