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Finding the Fourth Proportional to 38,714.13, 53,306.31 and 33,906.36

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Solution

The fourth proportional to 38,714.13, 53,306.31 and 33,906.36 is: 46,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,714.13 : 53,306.31 = 33,906.36 : x
  2. Step 2: Convert to fraction form
    38,714.13/53,306.31 = 33,906.36/x
  3. Step 3: Cross multiply
    38,714.13x = 53,306.31 × 33,906.36
  4. Step 4: Simplify right side
    38,714.13x = 1,807,422,937.13
  5. Step 5: Solve for x
    x = 1,807,422,937.13/38,714.13
  6. Step 6: Final answer
    x = 46,686.39

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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.