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Finding the Fourth Proportional to 29,934.80, 44,906.81 and 10,208.74

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Solution

The fourth proportional to 29,934.80, 44,906.81 and 10,208.74 is: 15,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934.80 : 44,906.81 = 10,208.74 : x
  2. Step 2: Convert to fraction form
    29,934.80/44,906.81 = 10,208.74/x
  3. Step 3: Cross multiply
    29,934.80x = 44,906.81 × 10,208.74
  4. Step 4: Simplify right side
    29,934.80x = 458,441,947.52
  5. Step 5: Solve for x
    x = 458,441,947.52/29,934.80
  6. Step 6: Final answer
    x = 15,314.68

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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.