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Finding the Fourth Proportional to 65,908.83, 98,842.77 and 23,783.45

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Solution

The fourth proportional to 65,908.83, 98,842.77 and 23,783.45 is: 35,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,908.83 : 98,842.77 = 23,783.45 : x
  2. Step 2: Convert to fraction form
    65,908.83/98,842.77 = 23,783.45/x
  3. Step 3: Cross multiply
    65,908.83x = 98,842.77 × 23,783.45
  4. Step 4: Simplify right side
    65,908.83x = 2,350,821,583.94
  5. Step 5: Solve for x
    x = 2,350,821,583.94/65,908.83
  6. Step 6: Final answer
    x = 35,667.78

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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.