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Finding the Fourth Proportional to 100,096.93, 150,101.66 and 29,959.84

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Solution

The fourth proportional to 100,096.93, 150,101.66 and 29,959.84 is: 44,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,096.93 : 150,101.66 = 29,959.84 : x
  2. Step 2: Convert to fraction form
    100,096.93/150,101.66 = 29,959.84/x
  3. Step 3: Cross multiply
    100,096.93x = 150,101.66 × 29,959.84
  4. Step 4: Simplify right side
    100,096.93x = 4,497,021,811.34
  5. Step 5: Solve for x
    x = 4,497,021,811.34/100,096.93
  6. Step 6: Final answer
    x = 44,926.67

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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.