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Finding the Fourth Proportional to 99,612, 137,466 and 54,900

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Solution

The fourth proportional to 99,612, 137,466 and 54,900 is: 75,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,612 : 137,466 = 54,900 : x
  2. Step 2: Convert to fraction form
    99,612/137,466 = 54,900/x
  3. Step 3: Cross multiply
    99,612x = 137,466 × 54,900
  4. Step 4: Simplify right side
    99,612x = 7,546,883,400
  5. Step 5: Solve for x
    x = 7,546,883,400/99,612
  6. Step 6: Final answer
    x = 75,762.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.