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Finding the Fourth Proportional to 55,791.16, 76,992.22 and 31,916.36

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Solution

The fourth proportional to 55,791.16, 76,992.22 and 31,916.36 is: 44,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,791.16 : 76,992.22 = 31,916.36 : x
  2. Step 2: Convert to fraction form
    55,791.16/76,992.22 = 31,916.36/x
  3. Step 3: Cross multiply
    55,791.16x = 76,992.22 × 31,916.36
  4. Step 4: Simplify right side
    55,791.16x = 2,457,311,410.72
  5. Step 5: Solve for x
    x = 2,457,311,410.72/55,791.16
  6. Step 6: Final answer
    x = 44,044.82

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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.