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Finding the Fourth Proportional to 97,247.89, 145,766.37 and 49,797.88

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Solution

The fourth proportional to 97,247.89, 145,766.37 and 49,797.88 is: 74,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,247.89 : 145,766.37 = 49,797.88 : x
  2. Step 2: Convert to fraction form
    97,247.89/145,766.37 = 49,797.88/x
  3. Step 3: Cross multiply
    97,247.89x = 145,766.37 × 49,797.88
  4. Step 4: Simplify right side
    97,247.89x = 7,258,856,201.30
  5. Step 5: Solve for x
    x = 7,258,856,201.30/97,247.89
  6. Step 6: Final answer
    x = 74,642.81

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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.