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Finding the Fourth Proportional to 56,165, 77,517.60 and 33,505.40

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Solution

The fourth proportional to 56,165, 77,517.60 and 33,505.40 is: 46,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,165 : 77,517.60 = 33,505.40 : x
  2. Step 2: Convert to fraction form
    56,165/77,517.60 = 33,505.40/x
  3. Step 3: Cross multiply
    56,165x = 77,517.60 × 33,505.40
  4. Step 4: Simplify right side
    56,165x = 2,597,258,195.04
  5. Step 5: Solve for x
    x = 2,597,258,195.04/56,165
  6. Step 6: Final answer
    x = 46,243.36

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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.