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Finding the Fourth Proportional to 32,443.57, 44,775.27 and 19,693.82

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Solution

The fourth proportional to 32,443.57, 44,775.27 and 19,693.82 is: 27,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.57 : 44,775.27 = 19,693.82 : x
  2. Step 2: Convert to fraction form
    32,443.57/44,775.27 = 19,693.82/x
  3. Step 3: Cross multiply
    32,443.57x = 44,775.27 × 19,693.82
  4. Step 4: Simplify right side
    32,443.57x = 881,796,107.83
  5. Step 5: Solve for x
    x = 881,796,107.83/32,443.57
  6. Step 6: Final answer
    x = 27,179.38

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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.