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Finding the Fourth Proportional to 65,769.77, 98,630.42 and 23,638.61

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Solution

The fourth proportional to 65,769.77, 98,630.42 and 23,638.61 is: 35,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,769.77 : 98,630.42 = 23,638.61 : x
  2. Step 2: Convert to fraction form
    65,769.77/98,630.42 = 23,638.61/x
  3. Step 3: Cross multiply
    65,769.77x = 98,630.42 × 23,638.61
  4. Step 4: Simplify right side
    65,769.77x = 2,331,485,421.17
  5. Step 5: Solve for x
    x = 2,331,485,421.17/65,769.77
  6. Step 6: Final answer
    x = 35,449.20

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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.