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Finding the Fourth Proportional to 55,906.68, 77,152.64 and 30,414.48

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Solution

The fourth proportional to 55,906.68, 77,152.64 and 30,414.48 is: 41,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906.68 : 77,152.64 = 30,414.48 : x
  2. Step 2: Convert to fraction form
    55,906.68/77,152.64 = 30,414.48/x
  3. Step 3: Cross multiply
    55,906.68x = 77,152.64 × 30,414.48
  4. Step 4: Simplify right side
    55,906.68x = 2,346,557,274.15
  5. Step 5: Solve for x
    x = 2,346,557,274.15/55,906.68
  6. Step 6: Final answer
    x = 41,972.75

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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.