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Finding the Fourth Proportional to 29,807.20, 44,716.20 and 14,978.80

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Solution

The fourth proportional to 29,807.20, 44,716.20 and 14,978.80 is: 22,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,807.20 : 44,716.20 = 14,978.80 : x
  2. Step 2: Convert to fraction form
    29,807.20/44,716.20 = 14,978.80/x
  3. Step 3: Cross multiply
    29,807.20x = 44,716.20 × 14,978.80
  4. Step 4: Simplify right side
    29,807.20x = 669,795,016.56
  5. Step 5: Solve for x
    x = 669,795,016.56/29,807.20
  6. Step 6: Final answer
    x = 22,470.91

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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.