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Finding the Fourth Proportional to 30,096.84, 45,134.60 and 8,745.11

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Solution

The fourth proportional to 30,096.84, 45,134.60 and 8,745.11 is: 13,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096.84 : 45,134.60 = 8,745.11 : x
  2. Step 2: Convert to fraction form
    30,096.84/45,134.60 = 8,745.11/x
  3. Step 3: Cross multiply
    30,096.84x = 45,134.60 × 8,745.11
  4. Step 4: Simplify right side
    30,096.84x = 394,707,041.81
  5. Step 5: Solve for x
    x = 394,707,041.81/30,096.84
  6. Step 6: Final answer
    x = 13,114.57

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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.