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Finding the Fourth Proportional to 107,076.65, 160,615.32 and 27,114.57

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Solution

The fourth proportional to 107,076.65, 160,615.32 and 27,114.57 is: 40,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,076.65 : 160,615.32 = 27,114.57 : x
  2. Step 2: Convert to fraction form
    107,076.65/160,615.32 = 27,114.57/x
  3. Step 3: Cross multiply
    107,076.65x = 160,615.32 × 27,114.57
  4. Step 4: Simplify right side
    107,076.65x = 4,355,015,388.05
  5. Step 5: Solve for x
    x = 4,355,015,388.05/107,076.65
  6. Step 6: Final answer
    x = 40,671.94

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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.