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Finding the Fourth Proportional to 38,978.31, 53,786.30 and 21,985.22

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Solution

The fourth proportional to 38,978.31, 53,786.30 and 21,985.22 is: 30,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,978.31 : 53,786.30 = 21,985.22 : x
  2. Step 2: Convert to fraction form
    38,978.31/53,786.30 = 21,985.22/x
  3. Step 3: Cross multiply
    38,978.31x = 53,786.30 × 21,985.22
  4. Step 4: Simplify right side
    38,978.31x = 1,182,503,663.03
  5. Step 5: Solve for x
    x = 1,182,503,663.03/38,978.31
  6. Step 6: Final answer
    x = 30,337.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.