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Finding the Fourth Proportional to 65,182.92, 97,771.14 and 35,658.42

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Solution

The fourth proportional to 65,182.92, 97,771.14 and 35,658.42 is: 53,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,182.92 : 97,771.14 = 35,658.42 : x
  2. Step 2: Convert to fraction form
    65,182.92/97,771.14 = 35,658.42/x
  3. Step 3: Cross multiply
    65,182.92x = 97,771.14 × 35,658.42
  4. Step 4: Simplify right side
    65,182.92x = 3,486,364,374.00
  5. Step 5: Solve for x
    x = 3,486,364,374.00/65,182.92
  6. Step 6: Final answer
    x = 53,485.86

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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.