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Finding the Fourth Proportional to 55,477.75, 83,216.67 and 18,541.75

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Solution

The fourth proportional to 55,477.75, 83,216.67 and 18,541.75 is: 27,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,477.75 : 83,216.67 = 18,541.75 : x
  2. Step 2: Convert to fraction form
    55,477.75/83,216.67 = 18,541.75/x
  3. Step 3: Cross multiply
    55,477.75x = 83,216.67 × 18,541.75
  4. Step 4: Simplify right side
    55,477.75x = 1,542,982,690.97
  5. Step 5: Solve for x
    x = 1,542,982,690.97/55,477.75
  6. Step 6: Final answer
    x = 27,812.64

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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.