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Finding the Fourth Proportional to 34,120.82, 47,086.84 and 19,783.46

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Solution

The fourth proportional to 34,120.82, 47,086.84 and 19,783.46 is: 27,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,120.82 : 47,086.84 = 19,783.46 : x
  2. Step 2: Convert to fraction form
    34,120.82/47,086.84 = 19,783.46/x
  3. Step 3: Cross multiply
    34,120.82x = 47,086.84 × 19,783.46
  4. Step 4: Simplify right side
    34,120.82x = 931,540,758.11
  5. Step 5: Solve for x
    x = 931,540,758.11/34,120.82
  6. Step 6: Final answer
    x = 27,301.24

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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.