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Finding the Fourth Proportional to 97,635.75, 146,468.22 and 35,320.83

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Solution

The fourth proportional to 97,635.75, 146,468.22 and 35,320.83 is: 52,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,635.75 : 146,468.22 = 35,320.83 : x
  2. Step 2: Convert to fraction form
    97,635.75/146,468.22 = 35,320.83/x
  3. Step 3: Cross multiply
    97,635.75x = 146,468.22 × 35,320.83
  4. Step 4: Simplify right side
    97,635.75x = 5,173,379,099.02
  5. Step 5: Solve for x
    x = 5,173,379,099.02/97,635.75
  6. Step 6: Final answer
    x = 52,986.52

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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.