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Finding the Fourth Proportional to 50,976, 76,470.48 and 14,040

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Solution

The fourth proportional to 50,976, 76,470.48 and 14,040 is: 21,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,976 : 76,470.48 = 14,040 : x
  2. Step 2: Convert to fraction form
    50,976/76,470.48 = 14,040/x
  3. Step 3: Cross multiply
    50,976x = 76,470.48 × 14,040
  4. Step 4: Simplify right side
    50,976x = 1,073,645,539.20
  5. Step 5: Solve for x
    x = 1,073,645,539.20/50,976
  6. Step 6: Final answer
    x = 21,061.78

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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.