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Finding the Fourth Proportional to 38,901.89, 53,685.31 and 22,986.31

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Solution

The fourth proportional to 38,901.89, 53,685.31 and 22,986.31 is: 31,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,901.89 : 53,685.31 = 22,986.31 : x
  2. Step 2: Convert to fraction form
    38,901.89/53,685.31 = 22,986.31/x
  3. Step 3: Cross multiply
    38,901.89x = 53,685.31 × 22,986.31
  4. Step 4: Simplify right side
    38,901.89x = 1,234,026,986.43
  5. Step 5: Solve for x
    x = 1,234,026,986.43/38,901.89
  6. Step 6: Final answer
    x = 31,721.52

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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.