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Finding the Fourth Proportional to 116,043.61, 174,067.84 and 37,157.61

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Solution

The fourth proportional to 116,043.61, 174,067.84 and 37,157.61 is: 55,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,043.61 : 174,067.84 = 37,157.61 : x
  2. Step 2: Convert to fraction form
    116,043.61/174,067.84 = 37,157.61/x
  3. Step 3: Cross multiply
    116,043.61x = 174,067.84 × 37,157.61
  4. Step 4: Simplify right side
    116,043.61x = 6,467,944,305.96
  5. Step 5: Solve for x
    x = 6,467,944,305.96/116,043.61
  6. Step 6: Final answer
    x = 55,737.19

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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.