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Finding the Fourth Proportional to 30,071.80, 41,493.18 and 17,149.24

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Solution

The fourth proportional to 30,071.80, 41,493.18 and 17,149.24 is: 23,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.80 : 41,493.18 = 17,149.24 : x
  2. Step 2: Convert to fraction form
    30,071.80/41,493.18 = 17,149.24/x
  3. Step 3: Cross multiply
    30,071.80x = 41,493.18 × 17,149.24
  4. Step 4: Simplify right side
    30,071.80x = 711,576,502.18
  5. Step 5: Solve for x
    x = 711,576,502.18/30,071.80
  6. Step 6: Final answer
    x = 23,662.58

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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.