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Finding the Fourth Proportional to 34,120.92, 47,070.78 and 19,965

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Solution

The fourth proportional to 34,120.92, 47,070.78 and 19,965 is: 27,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,120.92 : 47,070.78 = 19,965 : x
  2. Step 2: Convert to fraction form
    34,120.92/47,070.78 = 19,965/x
  3. Step 3: Cross multiply
    34,120.92x = 47,070.78 × 19,965
  4. Step 4: Simplify right side
    34,120.92x = 939,768,122.70
  5. Step 5: Solve for x
    x = 939,768,122.70/34,120.92
  6. Step 6: Final answer
    x = 27,542.29

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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.