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Finding the Fourth Proportional to 30,549.65, 45,824.49 and 8,363.21

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Solution

The fourth proportional to 30,549.65, 45,824.49 and 8,363.21 is: 12,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.65 : 45,824.49 = 8,363.21 : x
  2. Step 2: Convert to fraction form
    30,549.65/45,824.49 = 8,363.21/x
  3. Step 3: Cross multiply
    30,549.65x = 45,824.49 × 8,363.21
  4. Step 4: Simplify right side
    30,549.65x = 383,239,603.89
  5. Step 5: Solve for x
    x = 383,239,603.89/30,549.65
  6. Step 6: Final answer
    x = 12,544.81

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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.