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Finding the Fourth Proportional to 55,371.38, 76,411.42 and 30,221.06

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Solution

The fourth proportional to 55,371.38, 76,411.42 and 30,221.06 is: 41,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,371.38 : 76,411.42 = 30,221.06 : x
  2. Step 2: Convert to fraction form
    55,371.38/76,411.42 = 30,221.06/x
  3. Step 3: Cross multiply
    55,371.38x = 76,411.42 × 30,221.06
  4. Step 4: Simplify right side
    55,371.38x = 2,309,234,108.51
  5. Step 5: Solve for x
    x = 2,309,234,108.51/55,371.38
  6. Step 6: Final answer
    x = 41,704.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.