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Finding the Fourth Proportional to 30,331.50, 45,498.87 and 9,556.62

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Solution

The fourth proportional to 30,331.50, 45,498.87 and 9,556.62 is: 14,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331.50 : 45,498.87 = 9,556.62 : x
  2. Step 2: Convert to fraction form
    30,331.50/45,498.87 = 9,556.62/x
  3. Step 3: Cross multiply
    30,331.50x = 45,498.87 × 9,556.62
  4. Step 4: Simplify right side
    30,331.50x = 434,815,411.02
  5. Step 5: Solve for x
    x = 434,815,411.02/30,331.50
  6. Step 6: Final answer
    x = 14,335.44

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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.