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Finding the Fourth Proportional to 37,664.32, 51,978.39 and 22,559.44

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Solution

The fourth proportional to 37,664.32, 51,978.39 and 22,559.44 is: 31,133.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664.32 : 51,978.39 = 22,559.44 : x
  2. Step 2: Convert to fraction form
    37,664.32/51,978.39 = 22,559.44/x
  3. Step 3: Cross multiply
    37,664.32x = 51,978.39 × 22,559.44
  4. Step 4: Simplify right side
    37,664.32x = 1,172,603,370.50
  5. Step 5: Solve for x
    x = 1,172,603,370.50/37,664.32
  6. Step 6: Final answer
    x = 31,133.00

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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.