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Finding the Fourth Proportional to 46,474.58, 69,712.10 and 11,414.24

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Solution

The fourth proportional to 46,474.58, 69,712.10 and 11,414.24 is: 17,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,474.58 : 69,712.10 = 11,414.24 : x
  2. Step 2: Convert to fraction form
    46,474.58/69,712.10 = 11,414.24/x
  3. Step 3: Cross multiply
    46,474.58x = 69,712.10 × 11,414.24
  4. Step 4: Simplify right side
    46,474.58x = 795,710,640.30
  5. Step 5: Solve for x
    x = 795,710,640.30/46,474.58
  6. Step 6: Final answer
    x = 17,121.42

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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.