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Finding the Fourth Proportional to 37,643.97, 56,469.03 and 18,914.34

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Solution

The fourth proportional to 37,643.97, 56,469.03 and 18,914.34 is: 28,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.97 : 56,469.03 = 18,914.34 : x
  2. Step 2: Convert to fraction form
    37,643.97/56,469.03 = 18,914.34/x
  3. Step 3: Cross multiply
    37,643.97x = 56,469.03 × 18,914.34
  4. Step 4: Simplify right side
    37,643.97x = 1,068,074,338.32
  5. Step 5: Solve for x
    x = 1,068,074,338.32/37,643.97
  6. Step 6: Final answer
    x = 28,373.05

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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.