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Finding the Fourth Proportional to 27,742.68, 38,260.49 and 22,071.06

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Solution

The fourth proportional to 27,742.68, 38,260.49 and 22,071.06 is: 30,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.68 : 38,260.49 = 22,071.06 : x
  2. Step 2: Convert to fraction form
    27,742.68/38,260.49 = 22,071.06/x
  3. Step 3: Cross multiply
    27,742.68x = 38,260.49 × 22,071.06
  4. Step 4: Simplify right side
    27,742.68x = 844,449,460.06
  5. Step 5: Solve for x
    x = 844,449,460.06/27,742.68
  6. Step 6: Final answer
    x = 30,438.64

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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.