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Finding the Fourth Proportional to 50,335.64, 69,461.71 and 27,674.60

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Solution

The fourth proportional to 50,335.64, 69,461.71 and 27,674.60 is: 38,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,335.64 : 69,461.71 = 27,674.60 : x
  2. Step 2: Convert to fraction form
    50,335.64/69,461.71 = 27,674.60/x
  3. Step 3: Cross multiply
    50,335.64x = 69,461.71 × 27,674.60
  4. Step 4: Simplify right side
    50,335.64x = 1,922,325,144.03
  5. Step 5: Solve for x
    x = 1,922,325,144.03/50,335.64
  6. Step 6: Final answer
    x = 38,190.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.