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Finding the Fourth Proportional to 38,849, 53,620.44 and 27,506.68

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Solution

The fourth proportional to 38,849, 53,620.44 and 27,506.68 is: 37,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,849 : 53,620.44 = 27,506.68 : x
  2. Step 2: Convert to fraction form
    38,849/53,620.44 = 27,506.68/x
  3. Step 3: Cross multiply
    38,849x = 53,620.44 × 27,506.68
  4. Step 4: Simplify right side
    38,849x = 1,474,920,284.54
  5. Step 5: Solve for x
    x = 1,474,920,284.54/38,849
  6. Step 6: Final answer
    x = 37,965.46

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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.