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Finding the Fourth Proportional to 49,764.60, 74,464.65 and 36,642.60

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Solution

The fourth proportional to 49,764.60, 74,464.65 and 36,642.60 is: 54,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764.60 : 74,464.65 = 36,642.60 : x
  2. Step 2: Convert to fraction form
    49,764.60/74,464.65 = 36,642.60/x
  3. Step 3: Cross multiply
    49,764.60x = 74,464.65 × 36,642.60
  4. Step 4: Simplify right side
    49,764.60x = 2,728,578,384.09
  5. Step 5: Solve for x
    x = 2,728,578,384.09/49,764.60
  6. Step 6: Final answer
    x = 54,829.71

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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.