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Finding the Fourth Proportional to 37,857.54, 56,745.54 and 18,094.08

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Solution

The fourth proportional to 37,857.54, 56,745.54 and 18,094.08 is: 27,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857.54 : 56,745.54 = 18,094.08 : x
  2. Step 2: Convert to fraction form
    37,857.54/56,745.54 = 18,094.08/x
  3. Step 3: Cross multiply
    37,857.54x = 56,745.54 × 18,094.08
  4. Step 4: Simplify right side
    37,857.54x = 1,026,758,340.40
  5. Step 5: Solve for x
    x = 1,026,758,340.40/37,857.54
  6. Step 6: Final answer
    x = 27,121.63

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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.