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Finding the Fourth Proportional to 30,812.12, 42,520.72 and 16,664.96

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Solution

The fourth proportional to 30,812.12, 42,520.72 and 16,664.96 is: 22,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.12 : 42,520.72 = 16,664.96 : x
  2. Step 2: Convert to fraction form
    30,812.12/42,520.72 = 16,664.96/x
  3. Step 3: Cross multiply
    30,812.12x = 42,520.72 × 16,664.96
  4. Step 4: Simplify right side
    30,812.12x = 708,606,091.24
  5. Step 5: Solve for x
    x = 708,606,091.24/30,812.12
  6. Step 6: Final answer
    x = 22,997.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.