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Finding the Fourth Proportional to 32,204.76, 44,438.34 and 17,864.43

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Solution

The fourth proportional to 32,204.76, 44,438.34 and 17,864.43 is: 24,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.76 : 44,438.34 = 17,864.43 : x
  2. Step 2: Convert to fraction form
    32,204.76/44,438.34 = 17,864.43/x
  3. Step 3: Cross multiply
    32,204.76x = 44,438.34 × 17,864.43
  4. Step 4: Simplify right side
    32,204.76x = 793,865,614.25
  5. Step 5: Solve for x
    x = 793,865,614.25/32,204.76
  6. Step 6: Final answer
    x = 24,650.57

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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.