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Finding the Fourth Proportional to 34,090.92, 47,045.82 and 19,941

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Solution

The fourth proportional to 34,090.92, 47,045.82 and 19,941 is: 27,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090.92 : 47,045.82 = 19,941 : x
  2. Step 2: Convert to fraction form
    34,090.92/47,045.82 = 19,941/x
  3. Step 3: Cross multiply
    34,090.92x = 47,045.82 × 19,941
  4. Step 4: Simplify right side
    34,090.92x = 938,140,696.62
  5. Step 5: Solve for x
    x = 938,140,696.62/34,090.92
  6. Step 6: Final answer
    x = 27,518.78

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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.