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Finding the Fourth Proportional to 34,638.84, 47,801.34 and 27,092.88

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Solution

The fourth proportional to 34,638.84, 47,801.34 and 27,092.88 is: 37,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,638.84 : 47,801.34 = 27,092.88 : x
  2. Step 2: Convert to fraction form
    34,638.84/47,801.34 = 27,092.88/x
  3. Step 3: Cross multiply
    34,638.84x = 47,801.34 × 27,092.88
  4. Step 4: Simplify right side
    34,638.84x = 1,295,075,968.46
  5. Step 5: Solve for x
    x = 1,295,075,968.46/34,638.84
  6. Step 6: Final answer
    x = 37,387.97

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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.