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Finding the Fourth Proportional to 54,379.78, 75,044.22 and 31,734.34

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Solution

The fourth proportional to 54,379.78, 75,044.22 and 31,734.34 is: 43,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,379.78 : 75,044.22 = 31,734.34 : x
  2. Step 2: Convert to fraction form
    54,379.78/75,044.22 = 31,734.34/x
  3. Step 3: Cross multiply
    54,379.78x = 75,044.22 × 31,734.34
  4. Step 4: Simplify right side
    54,379.78x = 2,381,478,792.51
  5. Step 5: Solve for x
    x = 2,381,478,792.51/54,379.78
  6. Step 6: Final answer
    x = 43,793.46

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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.