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Finding the Fourth Proportional to 30,609.42, 42,243.06 and 17,181.66

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Solution

The fourth proportional to 30,609.42, 42,243.06 and 17,181.66 is: 23,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.42 : 42,243.06 = 17,181.66 : x
  2. Step 2: Convert to fraction form
    30,609.42/42,243.06 = 17,181.66/x
  3. Step 3: Cross multiply
    30,609.42x = 42,243.06 × 17,181.66
  4. Step 4: Simplify right side
    30,609.42x = 725,805,894.28
  5. Step 5: Solve for x
    x = 725,805,894.28/30,609.42
  6. Step 6: Final answer
    x = 23,711.85

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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.