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Finding the Fourth Proportional to 29,967.57, 44,978.96 and 15,186.96

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Solution

The fourth proportional to 29,967.57, 44,978.96 and 15,186.96 is: 22,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,967.57 : 44,978.96 = 15,186.96 : x
  2. Step 2: Convert to fraction form
    29,967.57/44,978.96 = 15,186.96/x
  3. Step 3: Cross multiply
    29,967.57x = 44,978.96 × 15,186.96
  4. Step 4: Simplify right side
    29,967.57x = 683,093,590.43
  5. Step 5: Solve for x
    x = 683,093,590.43/29,967.57
  6. Step 6: Final answer
    x = 22,794.43

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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.