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Finding the Fourth Proportional to 30,202.52, 45,310.05 and 9,143.73

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Solution

The fourth proportional to 30,202.52, 45,310.05 and 9,143.73 is: 13,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.52 : 45,310.05 = 9,143.73 : x
  2. Step 2: Convert to fraction form
    30,202.52/45,310.05 = 9,143.73/x
  3. Step 3: Cross multiply
    30,202.52x = 45,310.05 × 9,143.73
  4. Step 4: Simplify right side
    30,202.52x = 414,302,863.49
  5. Step 5: Solve for x
    x = 414,302,863.49/30,202.52
  6. Step 6: Final answer
    x = 13,717.50

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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.