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Finding the Fourth Proportional to 74,311.56, 111,467.34 and 32,157.18

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Solution

The fourth proportional to 74,311.56, 111,467.34 and 32,157.18 is: 48,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,311.56 : 111,467.34 = 32,157.18 : x
  2. Step 2: Convert to fraction form
    74,311.56/111,467.34 = 32,157.18/x
  3. Step 3: Cross multiply
    74,311.56x = 111,467.34 × 32,157.18
  4. Step 4: Simplify right side
    74,311.56x = 3,584,475,316.50
  5. Step 5: Solve for x
    x = 3,584,475,316.50/74,311.56
  6. Step 6: Final answer
    x = 48,235.77

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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.