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Finding the Fourth Proportional to 55,722.56, 83,489.68 and 27,605.12

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Solution

The fourth proportional to 55,722.56, 83,489.68 and 27,605.12 is: 41,361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,722.56 : 83,489.68 = 27,605.12 : x
  2. Step 2: Convert to fraction form
    55,722.56/83,489.68 = 27,605.12/x
  3. Step 3: Cross multiply
    55,722.56x = 83,489.68 × 27,605.12
  4. Step 4: Simplify right side
    55,722.56x = 2,304,742,635.16
  5. Step 5: Solve for x
    x = 2,304,742,635.16/55,722.56
  6. Step 6: Final answer
    x = 41,361.03

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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.