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Finding the Fourth Proportional to 34,527.44, 47,642.29 and 19,419.20

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Solution

The fourth proportional to 34,527.44, 47,642.29 and 19,419.20 is: 26,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,527.44 : 47,642.29 = 19,419.20 : x
  2. Step 2: Convert to fraction form
    34,527.44/47,642.29 = 19,419.20/x
  3. Step 3: Cross multiply
    34,527.44x = 47,642.29 × 19,419.20
  4. Step 4: Simplify right side
    34,527.44x = 925,175,157.97
  5. Step 5: Solve for x
    x = 925,175,157.97/34,527.44
  6. Step 6: Final answer
    x = 26,795.36

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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.