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Finding the Fourth Proportional to 30,549.66, 45,822.43 and 8,363.22

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Solution

The fourth proportional to 30,549.66, 45,822.43 and 8,363.22 is: 12,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.66 : 45,822.43 = 8,363.22 : x
  2. Step 2: Convert to fraction form
    30,549.66/45,822.43 = 8,363.22/x
  3. Step 3: Cross multiply
    30,549.66x = 45,822.43 × 8,363.22
  4. Step 4: Simplify right side
    30,549.66x = 383,223,311.79
  5. Step 5: Solve for x
    x = 383,223,311.79/30,549.66
  6. Step 6: Final answer
    x = 12,544.28

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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.