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Finding the Fourth Proportional to 57,843.25, 79,824.29 and 33,970.32

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Solution

The fourth proportional to 57,843.25, 79,824.29 and 33,970.32 is: 46,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,843.25 : 79,824.29 = 33,970.32 : x
  2. Step 2: Convert to fraction form
    57,843.25/79,824.29 = 33,970.32/x
  3. Step 3: Cross multiply
    57,843.25x = 79,824.29 × 33,970.32
  4. Step 4: Simplify right side
    57,843.25x = 2,711,656,505.22
  5. Step 5: Solve for x
    x = 2,711,656,505.22/57,843.25
  6. Step 6: Final answer
    x = 46,879.40

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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.