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Finding the Fourth Proportional to 99,460.40, 149,147.40 and 32,874.80

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Solution

The fourth proportional to 99,460.40, 149,147.40 and 32,874.80 is: 49,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,460.40 : 149,147.40 = 32,874.80 : x
  2. Step 2: Convert to fraction form
    99,460.40/149,147.40 = 32,874.80/x
  3. Step 3: Cross multiply
    99,460.40x = 149,147.40 × 32,874.80
  4. Step 4: Simplify right side
    99,460.40x = 4,903,190,945.52
  5. Step 5: Solve for x
    x = 4,903,190,945.52/99,460.40
  6. Step 6: Final answer
    x = 49,297.92

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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.