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Finding the Fourth Proportional to 77,608.68, 107,015.22 and 52,414.44

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Solution

The fourth proportional to 77,608.68, 107,015.22 and 52,414.44 is: 72,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,608.68 : 107,015.22 = 52,414.44 : x
  2. Step 2: Convert to fraction form
    77,608.68/107,015.22 = 52,414.44/x
  3. Step 3: Cross multiply
    77,608.68x = 107,015.22 × 52,414.44
  4. Step 4: Simplify right side
    77,608.68x = 5,609,142,827.78
  5. Step 5: Solve for x
    x = 5,609,142,827.78/77,608.68
  6. Step 6: Final answer
    x = 72,274.68

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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.