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Finding the Fourth Proportional to 47,080.12, 70,619.22 and 12,019

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Solution

The fourth proportional to 47,080.12, 70,619.22 and 12,019 is: 18,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,080.12 : 70,619.22 = 12,019 : x
  2. Step 2: Convert to fraction form
    47,080.12/70,619.22 = 12,019/x
  3. Step 3: Cross multiply
    47,080.12x = 70,619.22 × 12,019
  4. Step 4: Simplify right side
    47,080.12x = 848,772,405.18
  5. Step 5: Solve for x
    x = 848,772,405.18/47,080.12
  6. Step 6: Final answer
    x = 18,028.25

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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.