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Finding the Fourth Proportional to 89,134.68, 133,684.74 and 33,735

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Solution

The fourth proportional to 89,134.68, 133,684.74 and 33,735 is: 50,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,134.68 : 133,684.74 = 33,735 : x
  2. Step 2: Convert to fraction form
    89,134.68/133,684.74 = 33,735/x
  3. Step 3: Cross multiply
    89,134.68x = 133,684.74 × 33,735
  4. Step 4: Simplify right side
    89,134.68x = 4,509,854,703.90
  5. Step 5: Solve for x
    x = 4,509,854,703.90/89,134.68
  6. Step 6: Final answer
    x = 50,595.96

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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.