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Finding the Fourth Proportional to 30,822.72, 46,259.52 and 16,036

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Solution

The fourth proportional to 30,822.72, 46,259.52 and 16,036 is: 24,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.72 : 46,259.52 = 16,036 : x
  2. Step 2: Convert to fraction form
    30,822.72/46,259.52 = 16,036/x
  3. Step 3: Cross multiply
    30,822.72x = 46,259.52 × 16,036
  4. Step 4: Simplify right side
    30,822.72x = 741,817,662.72
  5. Step 5: Solve for x
    x = 741,817,662.72/30,822.72
  6. Step 6: Final answer
    x = 24,067.24

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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.