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Finding the Fourth Proportional to 30,605.72, 42,235.89 and 17,181.30

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Solution

The fourth proportional to 30,605.72, 42,235.89 and 17,181.30 is: 23,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,605.72 : 42,235.89 = 17,181.30 : x
  2. Step 2: Convert to fraction form
    30,605.72/42,235.89 = 17,181.30/x
  3. Step 3: Cross multiply
    30,605.72x = 42,235.89 × 17,181.30
  4. Step 4: Simplify right side
    30,605.72x = 725,667,478.38
  5. Step 5: Solve for x
    x = 725,667,478.38/30,605.72
  6. Step 6: Final answer
    x = 23,710.19

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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.