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Finding the Fourth Proportional to 90,543.49, 135,822.50 and 34,410.49

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Solution

The fourth proportional to 90,543.49, 135,822.50 and 34,410.49 is: 51,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,543.49 : 135,822.50 = 34,410.49 : x
  2. Step 2: Convert to fraction form
    90,543.49/135,822.50 = 34,410.49/x
  3. Step 3: Cross multiply
    90,543.49x = 135,822.50 × 34,410.49
  4. Step 4: Simplify right side
    90,543.49x = 4,673,718,778.03
  5. Step 5: Solve for x
    x = 4,673,718,778.03/90,543.49
  6. Step 6: Final answer
    x = 51,618.50

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Why These Related Problems?

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