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Finding the Fourth Proportional to 55,361.69, 83,002.31 and 22,071.77

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Solution

The fourth proportional to 55,361.69, 83,002.31 and 22,071.77 is: 33,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,361.69 : 83,002.31 = 22,071.77 : x
  2. Step 2: Convert to fraction form
    55,361.69/83,002.31 = 22,071.77/x
  3. Step 3: Cross multiply
    55,361.69x = 83,002.31 × 22,071.77
  4. Step 4: Simplify right side
    55,361.69x = 1,832,008,293.41
  5. Step 5: Solve for x
    x = 1,832,008,293.41/55,361.69
  6. Step 6: Final answer
    x = 33,091.62

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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.