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Finding the Fourth Proportional to 34,971.84, 48,226.86 and 27,406.44

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Solution

The fourth proportional to 34,971.84, 48,226.86 and 27,406.44 is: 37,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971.84 : 48,226.86 = 27,406.44 : x
  2. Step 2: Convert to fraction form
    34,971.84/48,226.86 = 27,406.44/x
  3. Step 3: Cross multiply
    34,971.84x = 48,226.86 × 27,406.44
  4. Step 4: Simplify right side
    34,971.84x = 1,321,726,544.98
  5. Step 5: Solve for x
    x = 1,321,726,544.98/34,971.84
  6. Step 6: Final answer
    x = 37,794.02

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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.