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Finding the Fourth Proportional to 29,947, 44,922.66 and 11,479

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Solution

The fourth proportional to 29,947, 44,922.66 and 11,479 is: 17,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,947 : 44,922.66 = 11,479 : x
  2. Step 2: Convert to fraction form
    29,947/44,922.66 = 11,479/x
  3. Step 3: Cross multiply
    29,947x = 44,922.66 × 11,479
  4. Step 4: Simplify right side
    29,947x = 515,667,214.14
  5. Step 5: Solve for x
    x = 515,667,214.14/29,947
  6. Step 6: Final answer
    x = 17,219.33

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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.