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Finding the Fourth Proportional to 49,478.80, 74,237 and 29,770.96

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Solution

The fourth proportional to 49,478.80, 74,237 and 29,770.96 is: 44,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478.80 : 74,237 = 29,770.96 : x
  2. Step 2: Convert to fraction form
    49,478.80/74,237 = 29,770.96/x
  3. Step 3: Cross multiply
    49,478.80x = 74,237 × 29,770.96
  4. Step 4: Simplify right side
    49,478.80x = 2,210,106,757.52
  5. Step 5: Solve for x
    x = 2,210,106,757.52/49,478.80
  6. Step 6: Final answer
    x = 44,667.75

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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.