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Finding the Fourth Proportional to 55,062.30, 82,593 and 32,727.77

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Solution

The fourth proportional to 55,062.30, 82,593 and 32,727.77 is: 49,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,062.30 : 82,593 = 32,727.77 : x
  2. Step 2: Convert to fraction form
    55,062.30/82,593 = 32,727.77/x
  3. Step 3: Cross multiply
    55,062.30x = 82,593 × 32,727.77
  4. Step 4: Simplify right side
    55,062.30x = 2,703,084,707.61
  5. Step 5: Solve for x
    x = 2,703,084,707.61/55,062.30
  6. Step 6: Final answer
    x = 49,091.39

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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.