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Finding the Fourth Proportional to 65,074.83, 97,601.39 and 22,945.01

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Solution

The fourth proportional to 65,074.83, 97,601.39 and 22,945.01 is: 34,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,074.83 : 97,601.39 = 22,945.01 : x
  2. Step 2: Convert to fraction form
    65,074.83/97,601.39 = 22,945.01/x
  3. Step 3: Cross multiply
    65,074.83x = 97,601.39 × 22,945.01
  4. Step 4: Simplify right side
    65,074.83x = 2,239,464,869.56
  5. Step 5: Solve for x
    x = 2,239,464,869.56/65,074.83
  6. Step 6: Final answer
    x = 34,413.69

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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.