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Finding the Fourth Proportional to 30,219.60, 45,325.46 and 8,034.78

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Solution

The fourth proportional to 30,219.60, 45,325.46 and 8,034.78 is: 12,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.60 : 45,325.46 = 8,034.78 : x
  2. Step 2: Convert to fraction form
    30,219.60/45,325.46 = 8,034.78/x
  3. Step 3: Cross multiply
    30,219.60x = 45,325.46 × 8,034.78
  4. Step 4: Simplify right side
    30,219.60x = 364,180,099.50
  5. Step 5: Solve for x
    x = 364,180,099.50/30,219.60
  6. Step 6: Final answer
    x = 12,051.12

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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.