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Finding the Fourth Proportional to 37,184.78, 51,271.63 and 27,736.94

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Solution

The fourth proportional to 37,184.78, 51,271.63 and 27,736.94 is: 38,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184.78 : 51,271.63 = 27,736.94 : x
  2. Step 2: Convert to fraction form
    37,184.78/51,271.63 = 27,736.94/x
  3. Step 3: Cross multiply
    37,184.78x = 51,271.63 × 27,736.94
  4. Step 4: Simplify right side
    37,184.78x = 1,422,118,125.01
  5. Step 5: Solve for x
    x = 1,422,118,125.01/37,184.78
  6. Step 6: Final answer
    x = 38,244.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.