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Finding the Fourth Proportional to 74,398.58, 111,569.31 and 31,676.92

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Solution

The fourth proportional to 74,398.58, 111,569.31 and 31,676.92 is: 47,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,398.58 : 111,569.31 = 31,676.92 : x
  2. Step 2: Convert to fraction form
    74,398.58/111,569.31 = 31,676.92/x
  3. Step 3: Cross multiply
    74,398.58x = 111,569.31 × 31,676.92
  4. Step 4: Simplify right side
    74,398.58x = 3,534,172,107.33
  5. Step 5: Solve for x
    x = 3,534,172,107.33/74,398.58
  6. Step 6: Final answer
    x = 47,503.22

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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.