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Finding the Fourth Proportional to 55,187.58, 82,781.37 and 17,746.82

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Solution

The fourth proportional to 55,187.58, 82,781.37 and 17,746.82 is: 26,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,187.58 : 82,781.37 = 17,746.82 : x
  2. Step 2: Convert to fraction form
    55,187.58/82,781.37 = 17,746.82/x
  3. Step 3: Cross multiply
    55,187.58x = 82,781.37 × 17,746.82
  4. Step 4: Simplify right side
    55,187.58x = 1,469,106,152.18
  5. Step 5: Solve for x
    x = 1,469,106,152.18/55,187.58
  6. Step 6: Final answer
    x = 26,620.23

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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.