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Finding the Fourth Proportional to 65,041.68, 89,757.68 and 35,233.68

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Solution

The fourth proportional to 65,041.68, 89,757.68 and 35,233.68 is: 48,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,041.68 : 89,757.68 = 35,233.68 : x
  2. Step 2: Convert to fraction form
    65,041.68/89,757.68 = 35,233.68/x
  3. Step 3: Cross multiply
    65,041.68x = 89,757.68 × 35,233.68
  4. Step 4: Simplify right side
    65,041.68x = 3,162,493,374.66
  5. Step 5: Solve for x
    x = 3,162,493,374.66/65,041.68
  6. Step 6: Final answer
    x = 48,622.57

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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.