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Finding the Fourth Proportional to 34,603.46, 51,906 and 13,542.56

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Solution

The fourth proportional to 34,603.46, 51,906 and 13,542.56 is: 20,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603.46 : 51,906 = 13,542.56 : x
  2. Step 2: Convert to fraction form
    34,603.46/51,906 = 13,542.56/x
  3. Step 3: Cross multiply
    34,603.46x = 51,906 × 13,542.56
  4. Step 4: Simplify right side
    34,603.46x = 702,940,119.36
  5. Step 5: Solve for x
    x = 702,940,119.36/34,603.46
  6. Step 6: Final answer
    x = 20,314.16

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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.