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Finding the Fourth Proportional to 34,197.39, 47,189.99 and 20,047.50

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Solution

The fourth proportional to 34,197.39, 47,189.99 and 20,047.50 is: 27,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,197.39 : 47,189.99 = 20,047.50 : x
  2. Step 2: Convert to fraction form
    34,197.39/47,189.99 = 20,047.50/x
  3. Step 3: Cross multiply
    34,197.39x = 47,189.99 × 20,047.50
  4. Step 4: Simplify right side
    34,197.39x = 946,041,374.64
  5. Step 5: Solve for x
    x = 946,041,374.64/34,197.39
  6. Step 6: Final answer
    x = 27,664.14

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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.