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Finding the Fourth Proportional to 90,474.50, 135,712.62 and 34,299.50

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Solution

The fourth proportional to 90,474.50, 135,712.62 and 34,299.50 is: 51,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,474.50 : 135,712.62 = 34,299.50 : x
  2. Step 2: Convert to fraction form
    90,474.50/135,712.62 = 34,299.50/x
  3. Step 3: Cross multiply
    90,474.50x = 135,712.62 × 34,299.50
  4. Step 4: Simplify right side
    90,474.50x = 4,654,875,009.69
  5. Step 5: Solve for x
    x = 4,654,875,009.69/90,474.50
  6. Step 6: Final answer
    x = 51,449.58

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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.