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Finding the Fourth Proportional to 48,669, 67,173 and 27,448.68

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Solution

The fourth proportional to 48,669, 67,173 and 27,448.68 is: 37,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,669 : 67,173 = 27,448.68 : x
  2. Step 2: Convert to fraction form
    48,669/67,173 = 27,448.68/x
  3. Step 3: Cross multiply
    48,669x = 67,173 × 27,448.68
  4. Step 4: Simplify right side
    48,669x = 1,843,810,181.64
  5. Step 5: Solve for x
    x = 1,843,810,181.64/48,669
  6. Step 6: Final answer
    x = 37,884.69

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1.5x scale

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.