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Finding the Fourth Proportional to 49,771.76, 74,618.16 and 24,798.20

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Solution

The fourth proportional to 49,771.76, 74,618.16 and 24,798.20 is: 37,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,771.76 : 74,618.16 = 24,798.20 : x
  2. Step 2: Convert to fraction form
    49,771.76/74,618.16 = 24,798.20/x
  3. Step 3: Cross multiply
    49,771.76x = 74,618.16 × 24,798.20
  4. Step 4: Simplify right side
    49,771.76x = 1,850,396,055.31
  5. Step 5: Solve for x
    x = 1,850,396,055.31/49,771.76
  6. Step 6: Final answer
    x = 37,177.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.