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Finding the Fourth Proportional to 35,942.40, 49,766.40 and 33,177.60

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Solution

The fourth proportional to 35,942.40, 49,766.40 and 33,177.60 is: 45,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,942.40 : 49,766.40 = 33,177.60 : x
  2. Step 2: Convert to fraction form
    35,942.40/49,766.40 = 33,177.60/x
  3. Step 3: Cross multiply
    35,942.40x = 49,766.40 × 33,177.60
  4. Step 4: Simplify right side
    35,942.40x = 1,651,129,712.64
  5. Step 5: Solve for x
    x = 1,651,129,712.64/35,942.40
  6. Step 6: Final answer
    x = 45,938.22

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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.