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Finding the Fourth Proportional to 97,310.61, 145,965.02 and 30,750.73

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Solution

The fourth proportional to 97,310.61, 145,965.02 and 30,750.73 is: 46,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,310.61 : 145,965.02 = 30,750.73 : x
  2. Step 2: Convert to fraction form
    97,310.61/145,965.02 = 30,750.73/x
  3. Step 3: Cross multiply
    97,310.61x = 145,965.02 × 30,750.73
  4. Step 4: Simplify right side
    97,310.61x = 4,488,530,189.64
  5. Step 5: Solve for x
    x = 4,488,530,189.64/97,310.61
  6. Step 6: Final answer
    x = 46,125.81

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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.