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Finding the Fourth Proportional to 97,480.52, 146,226.12 and 30,915.83

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Solution

The fourth proportional to 97,480.52, 146,226.12 and 30,915.83 is: 46,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,480.52 : 146,226.12 = 30,915.83 : x
  2. Step 2: Convert to fraction form
    97,480.52/146,226.12 = 30,915.83/x
  3. Step 3: Cross multiply
    97,480.52x = 146,226.12 × 30,915.83
  4. Step 4: Simplify right side
    97,480.52x = 4,520,701,867.48
  5. Step 5: Solve for x
    x = 4,520,701,867.48/97,480.52
  6. Step 6: Final answer
    x = 46,375.44

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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.