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Finding the Fourth Proportional to 49,268.36, 73,891.74 and 14,200.40

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Solution

The fourth proportional to 49,268.36, 73,891.74 and 14,200.40 is: 21,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,268.36 : 73,891.74 = 14,200.40 : x
  2. Step 2: Convert to fraction form
    49,268.36/73,891.74 = 14,200.40/x
  3. Step 3: Cross multiply
    49,268.36x = 73,891.74 × 14,200.40
  4. Step 4: Simplify right side
    49,268.36x = 1,049,292,264.70
  5. Step 5: Solve for x
    x = 1,049,292,264.70/49,268.36
  6. Step 6: Final answer
    x = 21,297.49

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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.