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Finding the Fourth Proportional to 73,242.88, 101,058.24 and 49,413.76

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Solution

The fourth proportional to 73,242.88, 101,058.24 and 49,413.76 is: 68,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,242.88 : 101,058.24 = 49,413.76 : x
  2. Step 2: Convert to fraction form
    73,242.88/101,058.24 = 49,413.76/x
  3. Step 3: Cross multiply
    73,242.88x = 101,058.24 × 49,413.76
  4. Step 4: Simplify right side
    73,242.88x = 4,993,667,617.38
  5. Step 5: Solve for x
    x = 4,993,667,617.38/73,242.88
  6. Step 6: Final answer
    x = 68,179.56

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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.