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Finding the Fourth Proportional to 34,085.97, 51,140.19 and 10,394.49

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Solution

The fourth proportional to 34,085.97, 51,140.19 and 10,394.49 is: 15,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.97 : 51,140.19 = 10,394.49 : x
  2. Step 2: Convert to fraction form
    34,085.97/51,140.19 = 10,394.49/x
  3. Step 3: Cross multiply
    34,085.97x = 51,140.19 × 10,394.49
  4. Step 4: Simplify right side
    34,085.97x = 531,576,193.55
  5. Step 5: Solve for x
    x = 531,576,193.55/34,085.97
  6. Step 6: Final answer
    x = 15,595.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.