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Finding the Fourth Proportional to 32,367, 44,685.90 and 21,208.44

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Solution

The fourth proportional to 32,367, 44,685.90 and 21,208.44 is: 29,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,367 : 44,685.90 = 21,208.44 : x
  2. Step 2: Convert to fraction form
    32,367/44,685.90 = 21,208.44/x
  3. Step 3: Cross multiply
    32,367x = 44,685.90 × 21,208.44
  4. Step 4: Simplify right side
    32,367x = 947,718,229.00
  5. Step 5: Solve for x
    x = 947,718,229.00/32,367
  6. Step 6: Final answer
    x = 29,280.39

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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.