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Finding the Fourth Proportional to 30,549.81, 45,824.73 and 8,363.37

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Solution

The fourth proportional to 30,549.81, 45,824.73 and 8,363.37 is: 12,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.81 : 45,824.73 = 8,363.37 : x
  2. Step 2: Convert to fraction form
    30,549.81/45,824.73 = 8,363.37/x
  3. Step 3: Cross multiply
    30,549.81x = 45,824.73 × 8,363.37
  4. Step 4: Simplify right side
    30,549.81x = 383,249,172.14
  5. Step 5: Solve for x
    x = 383,249,172.14/30,549.81
  6. Step 6: Final answer
    x = 12,545.06

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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.