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Finding the Fourth Proportional to 75,392.97, 112,917.21 and 35,977.77

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Solution

The fourth proportional to 75,392.97, 112,917.21 and 35,977.77 is: 53,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,392.97 : 112,917.21 = 35,977.77 : x
  2. Step 2: Convert to fraction form
    75,392.97/112,917.21 = 35,977.77/x
  3. Step 3: Cross multiply
    75,392.97x = 112,917.21 × 35,977.77
  4. Step 4: Simplify right side
    75,392.97x = 4,062,509,410.42
  5. Step 5: Solve for x
    x = 4,062,509,410.42/75,392.97
  6. Step 6: Final answer
    x = 53,884.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.