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Finding the Fourth Proportional to 110,830.16, 166,245.24 and 27,724.16

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Solution

The fourth proportional to 110,830.16, 166,245.24 and 27,724.16 is: 41,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,830.16 : 166,245.24 = 27,724.16 : x
  2. Step 2: Convert to fraction form
    110,830.16/166,245.24 = 27,724.16/x
  3. Step 3: Cross multiply
    110,830.16x = 166,245.24 × 27,724.16
  4. Step 4: Simplify right side
    110,830.16x = 4,609,009,633.00
  5. Step 5: Solve for x
    x = 4,609,009,633.00/110,830.16
  6. Step 6: Final answer
    x = 41,586.24

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1.5x scale

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.