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Finding the Fourth Proportional to 81,027.66, 111,823.77 and 45,224.64

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Solution

The fourth proportional to 81,027.66, 111,823.77 and 45,224.64 is: 62,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,027.66 : 111,823.77 = 45,224.64 : x
  2. Step 2: Convert to fraction form
    81,027.66/111,823.77 = 45,224.64/x
  3. Step 3: Cross multiply
    81,027.66x = 111,823.77 × 45,224.64
  4. Step 4: Simplify right side
    81,027.66x = 5,057,189,741.69
  5. Step 5: Solve for x
    x = 5,057,189,741.69/81,027.66
  6. Step 6: Final answer
    x = 62,413.13

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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.