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Finding the Fourth Proportional to 37,134, 55,620.32 and 22,858.96

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Solution

The fourth proportional to 37,134, 55,620.32 and 22,858.96 is: 34,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,134 : 55,620.32 = 22,858.96 : x
  2. Step 2: Convert to fraction form
    37,134/55,620.32 = 22,858.96/x
  3. Step 3: Cross multiply
    37,134x = 55,620.32 × 22,858.96
  4. Step 4: Simplify right side
    37,134x = 1,271,422,670.07
  5. Step 5: Solve for x
    x = 1,271,422,670.07/37,134
  6. Step 6: Final answer
    x = 34,238.77

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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.