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Finding the Fourth Proportional to 37,745.96, 52,103.94 and 25,166.12

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Solution

The fourth proportional to 37,745.96, 52,103.94 and 25,166.12 is: 34,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,745.96 : 52,103.94 = 25,166.12 : x
  2. Step 2: Convert to fraction form
    37,745.96/52,103.94 = 25,166.12/x
  3. Step 3: Cross multiply
    37,745.96x = 52,103.94 × 25,166.12
  4. Step 4: Simplify right side
    37,745.96x = 1,311,254,006.51
  5. Step 5: Solve for x
    x = 1,311,254,006.51/37,745.96
  6. Step 6: Final answer
    x = 34,738.92

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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.