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Finding the Fourth Proportional to 57,502.92, 86,227.05 and 20,058.45

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Solution

The fourth proportional to 57,502.92, 86,227.05 and 20,058.45 is: 30,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,502.92 : 86,227.05 = 20,058.45 : x
  2. Step 2: Convert to fraction form
    57,502.92/86,227.05 = 20,058.45/x
  3. Step 3: Cross multiply
    57,502.92x = 86,227.05 × 20,058.45
  4. Step 4: Simplify right side
    57,502.92x = 1,729,580,971.07
  5. Step 5: Solve for x
    x = 1,729,580,971.07/57,502.92
  6. Step 6: Final answer
    x = 30,078.14

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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.