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Finding the Fourth Proportional to 65,041, 89,756.60 and 35,233

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Solution

The fourth proportional to 65,041, 89,756.60 and 35,233 is: 48,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,041 : 89,756.60 = 35,233 : x
  2. Step 2: Convert to fraction form
    65,041/89,756.60 = 35,233/x
  3. Step 3: Cross multiply
    65,041x = 89,756.60 × 35,233
  4. Step 4: Simplify right side
    65,041x = 3,162,394,287.80
  5. Step 5: Solve for x
    x = 3,162,394,287.80/65,041
  6. Step 6: Final answer
    x = 48,621.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.