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Finding the Fourth Proportional to 55,677.75, 83,405.35 and 33,478.93

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Solution

The fourth proportional to 55,677.75, 83,405.35 and 33,478.93 is: 50,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,677.75 : 83,405.35 = 33,478.93 : x
  2. Step 2: Convert to fraction form
    55,677.75/83,405.35 = 33,478.93/x
  3. Step 3: Cross multiply
    55,677.75x = 83,405.35 × 33,478.93
  4. Step 4: Simplify right side
    55,677.75x = 2,792,321,874.28
  5. Step 5: Solve for x
    x = 2,792,321,874.28/55,677.75
  6. Step 6: Final answer
    x = 50,151.49

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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.