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Finding the Fourth Proportional to 37,808.54, 56,639 and 27,794.82

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Solution

The fourth proportional to 37,808.54, 56,639 and 27,794.82 is: 41,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,808.54 : 56,639 = 27,794.82 : x
  2. Step 2: Convert to fraction form
    37,808.54/56,639 = 27,794.82/x
  3. Step 3: Cross multiply
    37,808.54x = 56,639 × 27,794.82
  4. Step 4: Simplify right side
    37,808.54x = 1,574,270,809.98
  5. Step 5: Solve for x
    x = 1,574,270,809.98/37,808.54
  6. Step 6: Final answer
    x = 41,637.97

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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.