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Finding the Fourth Proportional to 30,394.17, 45,593.56 and 8,207.22

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Solution

The fourth proportional to 30,394.17, 45,593.56 and 8,207.22 is: 12,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394.17 : 45,593.56 = 8,207.22 : x
  2. Step 2: Convert to fraction form
    30,394.17/45,593.56 = 8,207.22/x
  3. Step 3: Cross multiply
    30,394.17x = 45,593.56 × 8,207.22
  4. Step 4: Simplify right side
    30,394.17x = 374,196,377.50
  5. Step 5: Solve for x
    x = 374,196,377.50/30,394.17
  6. Step 6: Final answer
    x = 12,311.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.