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Finding the Fourth Proportional to 65,034.48, 97,565.49 and 22,912.86

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Solution

The fourth proportional to 65,034.48, 97,565.49 and 22,912.86 is: 34,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,034.48 : 97,565.49 = 22,912.86 : x
  2. Step 2: Convert to fraction form
    65,034.48/97,565.49 = 22,912.86/x
  3. Step 3: Cross multiply
    65,034.48x = 97,565.49 × 22,912.86
  4. Step 4: Simplify right side
    65,034.48x = 2,235,504,413.20
  5. Step 5: Solve for x
    x = 2,235,504,413.20/65,034.48
  6. Step 6: Final answer
    x = 34,374.14

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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.