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Finding the Fourth Proportional to 37,097.16, 51,193.52 and 20,100.94

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Solution

The fourth proportional to 37,097.16, 51,193.52 and 20,100.94 is: 27,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.16 : 51,193.52 = 20,100.94 : x
  2. Step 2: Convert to fraction form
    37,097.16/51,193.52 = 20,100.94/x
  3. Step 3: Cross multiply
    37,097.16x = 51,193.52 × 20,100.94
  4. Step 4: Simplify right side
    37,097.16x = 1,029,037,873.91
  5. Step 5: Solve for x
    x = 1,029,037,873.91/37,097.16
  6. Step 6: Final answer
    x = 27,738.99

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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.