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Finding the Fourth Proportional to 49,241.64, 67,955.01 and 28,022.28

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Solution

The fourth proportional to 49,241.64, 67,955.01 and 28,022.28 is: 38,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,241.64 : 67,955.01 = 28,022.28 : x
  2. Step 2: Convert to fraction form
    49,241.64/67,955.01 = 28,022.28/x
  3. Step 3: Cross multiply
    49,241.64x = 67,955.01 × 28,022.28
  4. Step 4: Simplify right side
    49,241.64x = 1,904,254,317.62
  5. Step 5: Solve for x
    x = 1,904,254,317.62/49,241.64
  6. Step 6: Final answer
    x = 38,671.63

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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.