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Finding the Fourth Proportional to 34,082.55, 51,083.78 and 15,340.64

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Solution

The fourth proportional to 34,082.55, 51,083.78 and 15,340.64 is: 22,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,082.55 : 51,083.78 = 15,340.64 : x
  2. Step 2: Convert to fraction form
    34,082.55/51,083.78 = 15,340.64/x
  3. Step 3: Cross multiply
    34,082.55x = 51,083.78 × 15,340.64
  4. Step 4: Simplify right side
    34,082.55x = 783,657,878.82
  5. Step 5: Solve for x
    x = 783,657,878.82/34,082.55
  6. Step 6: Final answer
    x = 22,992.94

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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.