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Finding the Fourth Proportional to 65,458.68, 98,096.49 and 35,408.05

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Solution

The fourth proportional to 65,458.68, 98,096.49 and 35,408.05 is: 53,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.68 : 98,096.49 = 35,408.05 : x
  2. Step 2: Convert to fraction form
    65,458.68/98,096.49 = 35,408.05/x
  3. Step 3: Cross multiply
    65,458.68x = 98,096.49 × 35,408.05
  4. Step 4: Simplify right side
    65,458.68x = 3,473,405,177.50
  5. Step 5: Solve for x
    x = 3,473,405,177.50/65,458.68
  6. Step 6: Final answer
    x = 53,062.56

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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.