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Finding the Fourth Proportional to 50.14, 74.77 and 47.26

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Solution

The fourth proportional to 50.14, 74.77 and 47.26 is: 70.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.14 : 74.77 = 47.26 : x
  2. Step 2: Convert to fraction form
    50.14/74.77 = 47.26/x
  3. Step 3: Cross multiply
    50.14x = 74.77 × 47.26
  4. Step 4: Simplify right side
    50.14x = 3,533.66
  5. Step 5: Solve for x
    x = 3,533.66/50.14
  6. Step 6: Final answer
    x = 70.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.