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Finding the Fourth Proportional to 30,274, 41,778.30 and 17,026

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Solution

The fourth proportional to 30,274, 41,778.30 and 17,026 is: 23,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274 : 41,778.30 = 17,026 : x
  2. Step 2: Convert to fraction form
    30,274/41,778.30 = 17,026/x
  3. Step 3: Cross multiply
    30,274x = 41,778.30 × 17,026
  4. Step 4: Simplify right side
    30,274x = 711,317,335.80
  5. Step 5: Solve for x
    x = 711,317,335.80/30,274
  6. Step 6: Final answer
    x = 23,495.98

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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.