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Finding the Fourth Proportional to 89,584.29, 134,371.95 and 33,420

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Solution

The fourth proportional to 89,584.29, 134,371.95 and 33,420 is: 50,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,584.29 : 134,371.95 = 33,420 : x
  2. Step 2: Convert to fraction form
    89,584.29/134,371.95 = 33,420/x
  3. Step 3: Cross multiply
    89,584.29x = 134,371.95 × 33,420
  4. Step 4: Simplify right side
    89,584.29x = 4,490,710,569
  5. Step 5: Solve for x
    x = 4,490,710,569/89,584.29
  6. Step 6: Final answer
    x = 50,128.33

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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.