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Finding the Fourth Proportional to 37,098.90, 51,196.50 and 20,103.30

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Solution

The fourth proportional to 37,098.90, 51,196.50 and 20,103.30 is: 27,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098.90 : 51,196.50 = 20,103.30 : x
  2. Step 2: Convert to fraction form
    37,098.90/51,196.50 = 20,103.30/x
  3. Step 3: Cross multiply
    37,098.90x = 51,196.50 × 20,103.30
  4. Step 4: Simplify right side
    37,098.90x = 1,029,218,598.45
  5. Step 5: Solve for x
    x = 1,029,218,598.45/37,098.90
  6. Step 6: Final answer
    x = 27,742.56

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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.