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Finding the Fourth Proportional to 106,709.33, 160,064.01 and 27,823.34

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Solution

The fourth proportional to 106,709.33, 160,064.01 and 27,823.34 is: 41,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,709.33 : 160,064.01 = 27,823.34 : x
  2. Step 2: Convert to fraction form
    106,709.33/160,064.01 = 27,823.34/x
  3. Step 3: Cross multiply
    106,709.33x = 160,064.01 × 27,823.34
  4. Step 4: Simplify right side
    106,709.33x = 4,453,515,772.15
  5. Step 5: Solve for x
    x = 4,453,515,772.15/106,709.33
  6. Step 6: Final answer
    x = 41,735.02

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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.