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Finding the Fourth Proportional to 29,978.02, 44,963.83 and 15,923.13

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Solution

The fourth proportional to 29,978.02, 44,963.83 and 15,923.13 is: 23,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.02 : 44,963.83 = 15,923.13 : x
  2. Step 2: Convert to fraction form
    29,978.02/44,963.83 = 15,923.13/x
  3. Step 3: Cross multiply
    29,978.02x = 44,963.83 × 15,923.13
  4. Step 4: Simplify right side
    29,978.02x = 715,964,761.68
  5. Step 5: Solve for x
    x = 715,964,761.68/29,978.02
  6. Step 6: Final answer
    x = 23,882.99

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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.