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Finding the Fourth Proportional to 30,838.94, 46,261.31 and 8,652.22

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Solution

The fourth proportional to 30,838.94, 46,261.31 and 8,652.22 is: 12,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.94 : 46,261.31 = 8,652.22 : x
  2. Step 2: Convert to fraction form
    30,838.94/46,261.31 = 8,652.22/x
  3. Step 3: Cross multiply
    30,838.94x = 46,261.31 × 8,652.22
  4. Step 4: Simplify right side
    30,838.94x = 400,262,872.69
  5. Step 5: Solve for x
    x = 400,262,872.69/30,838.94
  6. Step 6: Final answer
    x = 12,979.14

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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.