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Finding the Fourth Proportional to 100,793.30, 151,157.72 and 33,312.74

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Solution

The fourth proportional to 100,793.30, 151,157.72 and 33,312.74 is: 49,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,793.30 : 151,157.72 = 33,312.74 : x
  2. Step 2: Convert to fraction form
    100,793.30/151,157.72 = 33,312.74/x
  3. Step 3: Cross multiply
    100,793.30x = 151,157.72 × 33,312.74
  4. Step 4: Simplify right side
    100,793.30x = 5,035,477,658.79
  5. Step 5: Solve for x
    x = 5,035,477,658.79/100,793.30
  6. Step 6: Final answer
    x = 49,958.46

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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.