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Finding the Fourth Proportional to 30,072.25, 41,500.31 and 16,643.16

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Solution

The fourth proportional to 30,072.25, 41,500.31 and 16,643.16 is: 22,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072.25 : 41,500.31 = 16,643.16 : x
  2. Step 2: Convert to fraction form
    30,072.25/41,500.31 = 16,643.16/x
  3. Step 3: Cross multiply
    30,072.25x = 41,500.31 × 16,643.16
  4. Step 4: Simplify right side
    30,072.25x = 690,696,299.38
  5. Step 5: Solve for x
    x = 690,696,299.38/30,072.25
  6. Step 6: Final answer
    x = 22,967.90

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Why These Related Problems?

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