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Finding the Fourth Proportional to 55,738, 76,893.32 and 33,077.95

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Solution

The fourth proportional to 55,738, 76,893.32 and 33,077.95 is: 45,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,738 : 76,893.32 = 33,077.95 : x
  2. Step 2: Convert to fraction form
    55,738/76,893.32 = 33,077.95/x
  3. Step 3: Cross multiply
    55,738x = 76,893.32 × 33,077.95
  4. Step 4: Simplify right side
    55,738x = 2,543,473,009.83
  5. Step 5: Solve for x
    x = 2,543,473,009.83/55,738
  6. Step 6: Final answer
    x = 45,632.66

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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.