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Finding the Fourth Proportional to 96,499.95, 133,169.83 and 54,058.78

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Solution

The fourth proportional to 96,499.95, 133,169.83 and 54,058.78 is: 74,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,499.95 : 133,169.83 = 54,058.78 : x
  2. Step 2: Convert to fraction form
    96,499.95/133,169.83 = 54,058.78/x
  3. Step 3: Cross multiply
    96,499.95x = 133,169.83 × 54,058.78
  4. Step 4: Simplify right side
    96,499.95x = 7,198,998,542.61
  5. Step 5: Solve for x
    x = 7,198,998,542.61/96,499.95
  6. Step 6: Final answer
    x = 74,601.06

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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.