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Finding the Fourth Proportional to 32,127.84, 44,335.71 and 17,786.84

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Solution

The fourth proportional to 32,127.84, 44,335.71 and 17,786.84 is: 24,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,127.84 : 44,335.71 = 17,786.84 : x
  2. Step 2: Convert to fraction form
    32,127.84/44,335.71 = 17,786.84/x
  3. Step 3: Cross multiply
    32,127.84x = 44,335.71 × 17,786.84
  4. Step 4: Simplify right side
    32,127.84x = 788,591,958.38
  5. Step 5: Solve for x
    x = 788,591,958.38/32,127.84
  6. Step 6: Final answer
    x = 24,545.44

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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.