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Finding the Fourth Proportional to 34,083.90, 47,039.94 and 20,654.82

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Solution

The fourth proportional to 34,083.90, 47,039.94 and 20,654.82 is: 28,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,083.90 : 47,039.94 = 20,654.82 : x
  2. Step 2: Convert to fraction form
    34,083.90/47,039.94 = 20,654.82/x
  3. Step 3: Cross multiply
    34,083.90x = 47,039.94 × 20,654.82
  4. Step 4: Simplify right side
    34,083.90x = 971,601,493.51
  5. Step 5: Solve for x
    x = 971,601,493.51/34,083.90
  6. Step 6: Final answer
    x = 28,506.17

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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.