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Finding the Fourth Proportional to 138,827.32, 208,240.97 and 33,646.29

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Solution

The fourth proportional to 138,827.32, 208,240.97 and 33,646.29 is: 50,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,827.32 : 208,240.97 = 33,646.29 : x
  2. Step 2: Convert to fraction form
    138,827.32/208,240.97 = 33,646.29/x
  3. Step 3: Cross multiply
    138,827.32x = 208,240.97 × 33,646.29
  4. Step 4: Simplify right side
    138,827.32x = 7,006,536,066.50
  5. Step 5: Solve for x
    x = 7,006,536,066.50/138,827.32
  6. Step 6: Final answer
    x = 50,469.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.