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Finding the Fourth Proportional to 32,844.52, 49,246.98 and 13,846.48

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Solution

The fourth proportional to 32,844.52, 49,246.98 and 13,846.48 is: 20,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,844.52 : 49,246.98 = 13,846.48 : x
  2. Step 2: Convert to fraction form
    32,844.52/49,246.98 = 13,846.48/x
  3. Step 3: Cross multiply
    32,844.52x = 49,246.98 × 13,846.48
  4. Step 4: Simplify right side
    32,844.52x = 681,897,323.63
  5. Step 5: Solve for x
    x = 681,897,323.63/32,844.52
  6. Step 6: Final answer
    x = 20,761.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.