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Finding the Fourth Proportional to 49,478, 74,118.02 and 29,745.68

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Solution

The fourth proportional to 49,478, 74,118.02 and 29,745.68 is: 44,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478 : 74,118.02 = 29,745.68 : x
  2. Step 2: Convert to fraction form
    49,478/74,118.02 = 29,745.68/x
  3. Step 3: Cross multiply
    49,478x = 74,118.02 × 29,745.68
  4. Step 4: Simplify right side
    49,478x = 2,204,690,905.15
  5. Step 5: Solve for x
    x = 2,204,690,905.15/49,478
  6. Step 6: Final answer
    x = 44,559.01

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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.