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Finding the Fourth Proportional to 48.39, 72.62 and 19.50

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Solution

The fourth proportional to 48.39, 72.62 and 19.50 is: 29.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.39 : 72.62 = 19.50 : x
  2. Step 2: Convert to fraction form
    48.39/72.62 = 19.50/x
  3. Step 3: Cross multiply
    48.39x = 72.62 × 19.50
  4. Step 4: Simplify right side
    48.39x = 1,415.99
  5. Step 5: Solve for x
    x = 1,415.99/48.39
  6. Step 6: Final answer
    x = 29.26

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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.