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Finding the Fourth Proportional to 27,632.88, 37,647.72 and 27,023.76

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Solution

The fourth proportional to 27,632.88, 37,647.72 and 27,023.76 is: 36,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632.88 : 37,647.72 = 27,023.76 : x
  2. Step 2: Convert to fraction form
    27,632.88/37,647.72 = 27,023.76/x
  3. Step 3: Cross multiply
    27,632.88x = 37,647.72 × 27,023.76
  4. Step 4: Simplify right side
    27,632.88x = 1,017,382,949.83
  5. Step 5: Solve for x
    x = 1,017,382,949.83/27,632.88
  6. Step 6: Final answer
    x = 36,817.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.