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Finding the Fourth Proportional to 103,414.32, 155,083.17 and 36,836.76

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Solution

The fourth proportional to 103,414.32, 155,083.17 and 36,836.76 is: 55,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.32 : 155,083.17 = 36,836.76 : x
  2. Step 2: Convert to fraction form
    103,414.32/155,083.17 = 36,836.76/x
  3. Step 3: Cross multiply
    103,414.32x = 155,083.17 × 36,836.76
  4. Step 4: Simplify right side
    103,414.32x = 5,712,761,513.33
  5. Step 5: Solve for x
    x = 5,712,761,513.33/103,414.32
  6. Step 6: Final answer
    x = 55,241.49

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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.