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Finding the Fourth Proportional to 50,744.61, 76,124.21 and 15,687

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Solution

The fourth proportional to 50,744.61, 76,124.21 and 15,687 is: 23,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,744.61 : 76,124.21 = 15,687 : x
  2. Step 2: Convert to fraction form
    50,744.61/76,124.21 = 15,687/x
  3. Step 3: Cross multiply
    50,744.61x = 76,124.21 × 15,687
  4. Step 4: Simplify right side
    50,744.61x = 1,194,160,403.84
  5. Step 5: Solve for x
    x = 1,194,160,403.84/50,744.61
  6. Step 6: Final answer
    x = 23,532.75

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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.