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Finding the Fourth Proportional to 49,809.40, 74,754.90 and 49,420.60

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Solution

The fourth proportional to 49,809.40, 74,754.90 and 49,420.60 is: 74,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,809.40 : 74,754.90 = 49,420.60 : x
  2. Step 2: Convert to fraction form
    49,809.40/74,754.90 = 49,420.60/x
  3. Step 3: Cross multiply
    49,809.40x = 74,754.90 × 49,420.60
  4. Step 4: Simplify right side
    49,809.40x = 3,694,432,010.94
  5. Step 5: Solve for x
    x = 3,694,432,010.94/49,809.40
  6. Step 6: Final answer
    x = 74,171.38

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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.