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Finding the Fourth Proportional to 78,201.48, 117,214.74 and 33,761.64

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Solution

The fourth proportional to 78,201.48, 117,214.74 and 33,761.64 is: 50,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201.48 : 117,214.74 = 33,761.64 : x
  2. Step 2: Convert to fraction form
    78,201.48/117,214.74 = 33,761.64/x
  3. Step 3: Cross multiply
    78,201.48x = 117,214.74 × 33,761.64
  4. Step 4: Simplify right side
    78,201.48x = 3,957,361,685.77
  5. Step 5: Solve for x
    x = 3,957,361,685.77/78,201.48
  6. Step 6: Final answer
    x = 50,604.69

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1.5x scale

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.