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Finding the Fourth Proportional to 27,705.74, 38,220.84 and 20,148.75

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Solution

The fourth proportional to 27,705.74, 38,220.84 and 20,148.75 is: 27,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.74 : 38,220.84 = 20,148.75 : x
  2. Step 2: Convert to fraction form
    27,705.74/38,220.84 = 20,148.75/x
  3. Step 3: Cross multiply
    27,705.74x = 38,220.84 × 20,148.75
  4. Step 4: Simplify right side
    27,705.74x = 770,102,149.95
  5. Step 5: Solve for x
    x = 770,102,149.95/27,705.74
  6. Step 6: Final answer
    x = 27,795.77

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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.