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Finding the Fourth Proportional to 37,101.43, 51,200.06 and 20,105.88

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Solution

The fourth proportional to 37,101.43, 51,200.06 and 20,105.88 is: 27,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101.43 : 51,200.06 = 20,105.88 : x
  2. Step 2: Convert to fraction form
    37,101.43/51,200.06 = 20,105.88/x
  3. Step 3: Cross multiply
    37,101.43x = 51,200.06 × 20,105.88
  4. Step 4: Simplify right side
    37,101.43x = 1,029,422,262.35
  5. Step 5: Solve for x
    x = 1,029,422,262.35/37,101.43
  6. Step 6: Final answer
    x = 27,746.16

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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.