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Finding the Fourth Proportional to 30,523.82, 45,778.34 and 8,337.31

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Solution

The fourth proportional to 30,523.82, 45,778.34 and 8,337.31 is: 12,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.82 : 45,778.34 = 8,337.31 : x
  2. Step 2: Convert to fraction form
    30,523.82/45,778.34 = 8,337.31/x
  3. Step 3: Cross multiply
    30,523.82x = 45,778.34 × 8,337.31
  4. Step 4: Simplify right side
    30,523.82x = 381,668,118.26
  5. Step 5: Solve for x
    x = 381,668,118.26/30,523.82
  6. Step 6: Final answer
    x = 12,503.95

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1.5x scale

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.