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Finding the Fourth Proportional to 30,250.53, 45,378 and 8,063.82

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Solution

The fourth proportional to 30,250.53, 45,378 and 8,063.82 is: 12,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250.53 : 45,378 = 8,063.82 : x
  2. Step 2: Convert to fraction form
    30,250.53/45,378 = 8,063.82/x
  3. Step 3: Cross multiply
    30,250.53x = 45,378 × 8,063.82
  4. Step 4: Simplify right side
    30,250.53x = 365,920,023.96
  5. Step 5: Solve for x
    x = 365,920,023.96/30,250.53
  6. Step 6: Final answer
    x = 12,096.32

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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.