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Finding the Fourth Proportional to 57,894.75, 79,897.19 and 32,744.25

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Solution

The fourth proportional to 57,894.75, 79,897.19 and 32,744.25 is: 45,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,894.75 : 79,897.19 = 32,744.25 : x
  2. Step 2: Convert to fraction form
    57,894.75/79,897.19 = 32,744.25/x
  3. Step 3: Cross multiply
    57,894.75x = 79,897.19 × 32,744.25
  4. Step 4: Simplify right side
    57,894.75x = 2,616,173,399.94
  5. Step 5: Solve for x
    x = 2,616,173,399.94/57,894.75
  6. Step 6: Final answer
    x = 45,188.44

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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.