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Finding the Fourth Proportional to 55,754.86, 76,906.71 and 33,077.80

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Solution

The fourth proportional to 55,754.86, 76,906.71 and 33,077.80 is: 45,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,754.86 : 76,906.71 = 33,077.80 : x
  2. Step 2: Convert to fraction form
    55,754.86/76,906.71 = 33,077.80/x
  3. Step 3: Cross multiply
    55,754.86x = 76,906.71 × 33,077.80
  4. Step 4: Simplify right side
    55,754.86x = 2,543,904,222.12
  5. Step 5: Solve for x
    x = 2,543,904,222.12/55,754.86
  6. Step 6: Final answer
    x = 45,626.60

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1.5x scale

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.