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Finding the Fourth Proportional to 38,982.93, 53,796.18 and 21,987.31

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Solution

The fourth proportional to 38,982.93, 53,796.18 and 21,987.31 is: 30,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982.93 : 53,796.18 = 21,987.31 : x
  2. Step 2: Convert to fraction form
    38,982.93/53,796.18 = 21,987.31/x
  3. Step 3: Cross multiply
    38,982.93x = 53,796.18 × 21,987.31
  4. Step 4: Simplify right side
    38,982.93x = 1,182,833,326.24
  5. Step 5: Solve for x
    x = 1,182,833,326.24/38,982.93
  6. Step 6: Final answer
    x = 30,342.34

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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.