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Finding the Fourth Proportional to 32,538, 44,902.71 and 17,634

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Solution

The fourth proportional to 32,538, 44,902.71 and 17,634 is: 24,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538 : 44,902.71 = 17,634 : x
  2. Step 2: Convert to fraction form
    32,538/44,902.71 = 17,634/x
  3. Step 3: Cross multiply
    32,538x = 44,902.71 × 17,634
  4. Step 4: Simplify right side
    32,538x = 791,814,388.14
  5. Step 5: Solve for x
    x = 791,814,388.14/32,538
  6. Step 6: Final answer
    x = 24,335.07

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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.