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Finding the Fourth Proportional to 59,634.50, 82,295.77 and 33,138.50

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Solution

The fourth proportional to 59,634.50, 82,295.77 and 33,138.50 is: 45,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,634.50 : 82,295.77 = 33,138.50 : x
  2. Step 2: Convert to fraction form
    59,634.50/82,295.77 = 33,138.50/x
  3. Step 3: Cross multiply
    59,634.50x = 82,295.77 × 33,138.50
  4. Step 4: Simplify right side
    59,634.50x = 2,727,158,374.15
  5. Step 5: Solve for x
    x = 2,727,158,374.15/59,634.50
  6. Step 6: Final answer
    x = 45,731.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.