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Finding the Fourth Proportional to 49,933.60, 74,803.20 and 27,707.20

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Solution

The fourth proportional to 49,933.60, 74,803.20 and 27,707.20 is: 41,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,933.60 : 74,803.20 = 27,707.20 : x
  2. Step 2: Convert to fraction form
    49,933.60/74,803.20 = 27,707.20/x
  3. Step 3: Cross multiply
    49,933.60x = 74,803.20 × 27,707.20
  4. Step 4: Simplify right side
    49,933.60x = 2,072,587,223.04
  5. Step 5: Solve for x
    x = 2,072,587,223.04/49,933.60
  6. Step 6: Final answer
    x = 41,506.87

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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.