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Finding the Fourth Proportional to 96,906.48, 145,578.42 and 57,489.54

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Solution

The fourth proportional to 96,906.48, 145,578.42 and 57,489.54 is: 86,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,906.48 : 145,578.42 = 57,489.54 : x
  2. Step 2: Convert to fraction form
    96,906.48/145,578.42 = 57,489.54/x
  3. Step 3: Cross multiply
    96,906.48x = 145,578.42 × 57,489.54
  4. Step 4: Simplify right side
    96,906.48x = 8,369,236,399.73
  5. Step 5: Solve for x
    x = 8,369,236,399.73/96,906.48
  6. Step 6: Final answer
    x = 86,364.05

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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.