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Finding the Fourth Proportional to 76,412.20, 114,618.30 and 45,231.40

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Solution

The fourth proportional to 76,412.20, 114,618.30 and 45,231.40 is: 67,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412.20 : 114,618.30 = 45,231.40 : x
  2. Step 2: Convert to fraction form
    76,412.20/114,618.30 = 45,231.40/x
  3. Step 3: Cross multiply
    76,412.20x = 114,618.30 × 45,231.40
  4. Step 4: Simplify right side
    76,412.20x = 5,184,346,174.62
  5. Step 5: Solve for x
    x = 5,184,346,174.62/76,412.20
  6. Step 6: Final answer
    x = 67,847.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.