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Finding the Fourth Proportional to 49,475.20, 74,212.80 and 27,356.80

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Solution

The fourth proportional to 49,475.20, 74,212.80 and 27,356.80 is: 41,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,475.20 : 74,212.80 = 27,356.80 : x
  2. Step 2: Convert to fraction form
    49,475.20/74,212.80 = 27,356.80/x
  3. Step 3: Cross multiply
    49,475.20x = 74,212.80 × 27,356.80
  4. Step 4: Simplify right side
    49,475.20x = 2,030,224,727.04
  5. Step 5: Solve for x
    x = 2,030,224,727.04/49,475.20
  6. Step 6: Final answer
    x = 41,035.20

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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.