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Finding the Fourth Proportional to 30,084.60, 45,126.36 and 12,311.40

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Solution

The fourth proportional to 30,084.60, 45,126.36 and 12,311.40 is: 18,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084.60 : 45,126.36 = 12,311.40 : x
  2. Step 2: Convert to fraction form
    30,084.60/45,126.36 = 12,311.40/x
  3. Step 3: Cross multiply
    30,084.60x = 45,126.36 × 12,311.40
  4. Step 4: Simplify right side
    30,084.60x = 555,568,668.50
  5. Step 5: Solve for x
    x = 555,568,668.50/30,084.60
  6. Step 6: Final answer
    x = 18,466.88

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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.