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Finding the Fourth Proportional to 30,096.34, 45,133.85 and 8,744.61

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Solution

The fourth proportional to 30,096.34, 45,133.85 and 8,744.61 is: 13,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096.34 : 45,133.85 = 8,744.61 : x
  2. Step 2: Convert to fraction form
    30,096.34/45,133.85 = 8,744.61/x
  3. Step 3: Cross multiply
    30,096.34x = 45,133.85 × 8,744.61
  4. Step 4: Simplify right side
    30,096.34x = 394,677,916.05
  5. Step 5: Solve for x
    x = 394,677,916.05/30,096.34
  6. Step 6: Final answer
    x = 13,113.82

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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.