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Finding the Fourth Proportional to 34,486.50, 47,591.42 and 19,582.50

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Solution

The fourth proportional to 34,486.50, 47,591.42 and 19,582.50 is: 27,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,486.50 : 47,591.42 = 19,582.50 : x
  2. Step 2: Convert to fraction form
    34,486.50/47,591.42 = 19,582.50/x
  3. Step 3: Cross multiply
    34,486.50x = 47,591.42 × 19,582.50
  4. Step 4: Simplify right side
    34,486.50x = 931,958,982.15
  5. Step 5: Solve for x
    x = 931,958,982.15/34,486.50
  6. Step 6: Final answer
    x = 27,023.88

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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.