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Finding the Fourth Proportional to 37,103.80, 51,203.14 and 20,108.52

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Solution

The fourth proportional to 37,103.80, 51,203.14 and 20,108.52 is: 27,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,103.80 : 51,203.14 = 20,108.52 : x
  2. Step 2: Convert to fraction form
    37,103.80/51,203.14 = 20,108.52/x
  3. Step 3: Cross multiply
    37,103.80x = 51,203.14 × 20,108.52
  4. Step 4: Simplify right side
    37,103.80x = 1,029,619,364.75
  5. Step 5: Solve for x
    x = 1,029,619,364.75/37,103.80
  6. Step 6: Final answer
    x = 27,749.70

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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.