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Finding the Fourth Proportional to 65,908.86, 98,842.86 and 23,783.48

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Solution

The fourth proportional to 65,908.86, 98,842.86 and 23,783.48 is: 35,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,908.86 : 98,842.86 = 23,783.48 : x
  2. Step 2: Convert to fraction form
    65,908.86/98,842.86 = 23,783.48/x
  3. Step 3: Cross multiply
    65,908.86x = 98,842.86 × 23,783.48
  4. Step 4: Simplify right side
    65,908.86x = 2,350,827,183.95
  5. Step 5: Solve for x
    x = 2,350,827,183.95/65,908.86
  6. Step 6: Final answer
    x = 35,667.85

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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.