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Finding the Fourth Proportional to 30,896.84, 46,345.16 and 11,175.42

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Solution

The fourth proportional to 30,896.84, 46,345.16 and 11,175.42 is: 16,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.84 : 46,345.16 = 11,175.42 : x
  2. Step 2: Convert to fraction form
    30,896.84/46,345.16 = 11,175.42/x
  3. Step 3: Cross multiply
    30,896.84x = 46,345.16 × 11,175.42
  4. Step 4: Simplify right side
    30,896.84x = 517,926,627.97
  5. Step 5: Solve for x
    x = 517,926,627.97/30,896.84
  6. Step 6: Final answer
    x = 16,763.09

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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.