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Finding the Fourth Proportional to 48,541.50, 72,812.16 and 27,750.42

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Solution

The fourth proportional to 48,541.50, 72,812.16 and 27,750.42 is: 41,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,541.50 : 72,812.16 = 27,750.42 : x
  2. Step 2: Convert to fraction form
    48,541.50/72,812.16 = 27,750.42/x
  3. Step 3: Cross multiply
    48,541.50x = 72,812.16 × 27,750.42
  4. Step 4: Simplify right side
    48,541.50x = 2,020,568,021.11
  5. Step 5: Solve for x
    x = 2,020,568,021.11/48,541.50
  6. Step 6: Final answer
    x = 41,625.58

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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.