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Finding the Fourth Proportional to 31,284, 46,933.56 and 12,816

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Solution

The fourth proportional to 31,284, 46,933.56 and 12,816 is: 19,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,284 : 46,933.56 = 12,816 : x
  2. Step 2: Convert to fraction form
    31,284/46,933.56 = 12,816/x
  3. Step 3: Cross multiply
    31,284x = 46,933.56 × 12,816
  4. Step 4: Simplify right side
    31,284x = 601,500,504.96
  5. Step 5: Solve for x
    x = 601,500,504.96/31,284
  6. Step 6: Final answer
    x = 19,227.10

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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.