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Finding the Fourth Proportional to 32,794, 45,256.20 and 17,890

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Solution

The fourth proportional to 32,794, 45,256.20 and 17,890 is: 24,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794 : 45,256.20 = 17,890 : x
  2. Step 2: Convert to fraction form
    32,794/45,256.20 = 17,890/x
  3. Step 3: Cross multiply
    32,794x = 45,256.20 × 17,890
  4. Step 4: Simplify right side
    32,794x = 809,633,418
  5. Step 5: Solve for x
    x = 809,633,418/32,794
  6. Step 6: Final answer
    x = 24,688.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.