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Finding the Fourth Proportional to 57,720.84, 79,656 and 31,879.30

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Solution

The fourth proportional to 57,720.84, 79,656 and 31,879.30 is: 43,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,720.84 : 79,656 = 31,879.30 : x
  2. Step 2: Convert to fraction form
    57,720.84/79,656 = 31,879.30/x
  3. Step 3: Cross multiply
    57,720.84x = 79,656 × 31,879.30
  4. Step 4: Simplify right side
    57,720.84x = 2,539,377,520.80
  5. Step 5: Solve for x
    x = 2,539,377,520.80/57,720.84
  6. Step 6: Final answer
    x = 43,994.12

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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.