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Finding the Fourth Proportional to 52,051.97, 71,832.29 and 28,179.15

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Solution

The fourth proportional to 52,051.97, 71,832.29 and 28,179.15 is: 38,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.97 : 71,832.29 = 28,179.15 : x
  2. Step 2: Convert to fraction form
    52,051.97/71,832.29 = 28,179.15/x
  3. Step 3: Cross multiply
    52,051.97x = 71,832.29 × 28,179.15
  4. Step 4: Simplify right side
    52,051.97x = 2,024,172,733.86
  5. Step 5: Solve for x
    x = 2,024,172,733.86/52,051.97
  6. Step 6: Final answer
    x = 38,887.54

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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.