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Finding the Fourth Proportional to 114,624.96, 171,908.28 and 44,466

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Solution

The fourth proportional to 114,624.96, 171,908.28 and 44,466 is: 66,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,624.96 : 171,908.28 = 44,466 : x
  2. Step 2: Convert to fraction form
    114,624.96/171,908.28 = 44,466/x
  3. Step 3: Cross multiply
    114,624.96x = 171,908.28 × 44,466
  4. Step 4: Simplify right side
    114,624.96x = 7,644,073,578.48
  5. Step 5: Solve for x
    x = 7,644,073,578.48/114,624.96
  6. Step 6: Final answer
    x = 66,687.69

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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.