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Finding the Fourth Proportional to 29,575.17, 44,338.23 and 11,794.86

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Solution

The fourth proportional to 29,575.17, 44,338.23 and 11,794.86 is: 17,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,575.17 : 44,338.23 = 11,794.86 : x
  2. Step 2: Convert to fraction form
    29,575.17/44,338.23 = 11,794.86/x
  3. Step 3: Cross multiply
    29,575.17x = 44,338.23 × 11,794.86
  4. Step 4: Simplify right side
    29,575.17x = 522,963,215.50
  5. Step 5: Solve for x
    x = 522,963,215.50/29,575.17
  6. Step 6: Final answer
    x = 17,682.51

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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.