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Finding the Fourth Proportional to 54,302.72, 81,403.02 and 29,305.31

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Solution

The fourth proportional to 54,302.72, 81,403.02 and 29,305.31 is: 43,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302.72 : 81,403.02 = 29,305.31 : x
  2. Step 2: Convert to fraction form
    54,302.72/81,403.02 = 29,305.31/x
  3. Step 3: Cross multiply
    54,302.72x = 81,403.02 × 29,305.31
  4. Step 4: Simplify right side
    54,302.72x = 2,385,540,329.02
  5. Step 5: Solve for x
    x = 2,385,540,329.02/54,302.72
  6. Step 6: Final answer
    x = 43,930.41

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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.