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Finding the Fourth Proportional to 34,294.36, 47,321.94 and 20,146.90

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Solution

The fourth proportional to 34,294.36, 47,321.94 and 20,146.90 is: 27,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294.36 : 47,321.94 = 20,146.90 : x
  2. Step 2: Convert to fraction form
    34,294.36/47,321.94 = 20,146.90/x
  3. Step 3: Cross multiply
    34,294.36x = 47,321.94 × 20,146.90
  4. Step 4: Simplify right side
    34,294.36x = 953,390,392.99
  5. Step 5: Solve for x
    x = 953,390,392.99/34,294.36
  6. Step 6: Final answer
    x = 27,800.21

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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.