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Finding the Fourth Proportional to 30,694.38, 46,051.30 and 10,972.50

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Solution

The fourth proportional to 30,694.38, 46,051.30 and 10,972.50 is: 16,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.38 : 46,051.30 = 10,972.50 : x
  2. Step 2: Convert to fraction form
    30,694.38/46,051.30 = 10,972.50/x
  3. Step 3: Cross multiply
    30,694.38x = 46,051.30 × 10,972.50
  4. Step 4: Simplify right side
    30,694.38x = 505,297,889.25
  5. Step 5: Solve for x
    x = 505,297,889.25/30,694.38
  6. Step 6: Final answer
    x = 16,462.23

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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.