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Finding the Fourth Proportional to 90,163.50, 135,276.42 and 34,019.70

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Solution

The fourth proportional to 90,163.50, 135,276.42 and 34,019.70 is: 51,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,163.50 : 135,276.42 = 34,019.70 : x
  2. Step 2: Convert to fraction form
    90,163.50/135,276.42 = 34,019.70/x
  3. Step 3: Cross multiply
    90,163.50x = 135,276.42 × 34,019.70
  4. Step 4: Simplify right side
    90,163.50x = 4,602,063,225.47
  5. Step 5: Solve for x
    x = 4,602,063,225.47/90,163.50
  6. Step 6: Final answer
    x = 51,041.31

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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.