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Finding the Fourth Proportional to 32,542.31, 44,908.40 and 17,638.31

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Solution

The fourth proportional to 32,542.31, 44,908.40 and 17,638.31 is: 24,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.31 : 44,908.40 = 17,638.31 : x
  2. Step 2: Convert to fraction form
    32,542.31/44,908.40 = 17,638.31/x
  3. Step 3: Cross multiply
    32,542.31x = 44,908.40 × 17,638.31
  4. Step 4: Simplify right side
    32,542.31x = 792,108,437.17
  5. Step 5: Solve for x
    x = 792,108,437.17/32,542.31
  6. Step 6: Final answer
    x = 24,340.88

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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.