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Finding the Fourth Proportional to 32,398.50, 44,729.37 and 21,239.94

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Solution

The fourth proportional to 32,398.50, 44,729.37 and 21,239.94 is: 29,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398.50 : 44,729.37 = 21,239.94 : x
  2. Step 2: Convert to fraction form
    32,398.50/44,729.37 = 21,239.94/x
  3. Step 3: Cross multiply
    32,398.50x = 44,729.37 × 21,239.94
  4. Step 4: Simplify right side
    32,398.50x = 950,049,135.04
  5. Step 5: Solve for x
    x = 950,049,135.04/32,398.50
  6. Step 6: Final answer
    x = 29,323.86

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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.