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Finding the Fourth Proportional to 29,780.44, 44,669.22 and 11,311

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Solution

The fourth proportional to 29,780.44, 44,669.22 and 11,311 is: 16,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780.44 : 44,669.22 = 11,311 : x
  2. Step 2: Convert to fraction form
    29,780.44/44,669.22 = 11,311/x
  3. Step 3: Cross multiply
    29,780.44x = 44,669.22 × 11,311
  4. Step 4: Simplify right side
    29,780.44x = 505,253,547.42
  5. Step 5: Solve for x
    x = 505,253,547.42/29,780.44
  6. Step 6: Final answer
    x = 16,965.95

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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.