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Finding the Fourth Proportional to 29,978.84, 44,995.84 and 15,198.24

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Solution

The fourth proportional to 29,978.84, 44,995.84 and 15,198.24 is: 22,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.84 : 44,995.84 = 15,198.24 : x
  2. Step 2: Convert to fraction form
    29,978.84/44,995.84 = 15,198.24/x
  3. Step 3: Cross multiply
    29,978.84x = 44,995.84 × 15,198.24
  4. Step 4: Simplify right side
    29,978.84x = 683,857,575.32
  5. Step 5: Solve for x
    x = 683,857,575.32/29,978.84
  6. Step 6: Final answer
    x = 22,811.34

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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.