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Finding the Fourth Proportional to 37,312.64, 51,490.22 and 22,201.82

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Solution

The fourth proportional to 37,312.64, 51,490.22 and 22,201.82 is: 30,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,312.64 : 51,490.22 = 22,201.82 : x
  2. Step 2: Convert to fraction form
    37,312.64/51,490.22 = 22,201.82/x
  3. Step 3: Cross multiply
    37,312.64x = 51,490.22 × 22,201.82
  4. Step 4: Simplify right side
    37,312.64x = 1,143,176,596.20
  5. Step 5: Solve for x
    x = 1,143,176,596.20/37,312.64
  6. Step 6: Final answer
    x = 30,637.78

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