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Finding the Fourth Proportional to 37,133.64, 51,244.68 and 20,137.97

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Solution

The fourth proportional to 37,133.64, 51,244.68 and 20,137.97 is: 27,790.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,133.64 : 51,244.68 = 20,137.97 : x
  2. Step 2: Convert to fraction form
    37,133.64/51,244.68 = 20,137.97/x
  3. Step 3: Cross multiply
    37,133.64x = 51,244.68 × 20,137.97
  4. Step 4: Simplify right side
    37,133.64x = 1,031,963,572.28
  5. Step 5: Solve for x
    x = 1,031,963,572.28/37,133.64
  6. Step 6: Final answer
    x = 27,790.53

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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.