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Finding the Fourth Proportional to 37,107, 51,207.78 and 20,111.52

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Solution

The fourth proportional to 37,107, 51,207.78 and 20,111.52 is: 27,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,107 : 51,207.78 = 20,111.52 : x
  2. Step 2: Convert to fraction form
    37,107/51,207.78 = 20,111.52/x
  3. Step 3: Cross multiply
    37,107x = 51,207.78 × 20,111.52
  4. Step 4: Simplify right side
    37,107x = 1,029,866,291.63
  5. Step 5: Solve for x
    x = 1,029,866,291.63/37,107
  6. Step 6: Final answer
    x = 27,753.96

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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.