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Finding the Fourth Proportional to 114,632.96, 171,920.28 and 44,474

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Solution

The fourth proportional to 114,632.96, 171,920.28 and 44,474 is: 66,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,632.96 : 171,920.28 = 44,474 : x
  2. Step 2: Convert to fraction form
    114,632.96/171,920.28 = 44,474/x
  3. Step 3: Cross multiply
    114,632.96x = 171,920.28 × 44,474
  4. Step 4: Simplify right side
    114,632.96x = 7,645,982,532.72
  5. Step 5: Solve for x
    x = 7,645,982,532.72/114,632.96
  6. Step 6: Final answer
    x = 66,699.69

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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.