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Finding the Fourth Proportional to 76,305.40, 114,458.10 and 23,720.20

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Solution

The fourth proportional to 76,305.40, 114,458.10 and 23,720.20 is: 35,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.40 : 114,458.10 = 23,720.20 : x
  2. Step 2: Convert to fraction form
    76,305.40/114,458.10 = 23,720.20/x
  3. Step 3: Cross multiply
    76,305.40x = 114,458.10 × 23,720.20
  4. Step 4: Simplify right side
    76,305.40x = 2,714,969,023.62
  5. Step 5: Solve for x
    x = 2,714,969,023.62/76,305.40
  6. Step 6: Final answer
    x = 35,580.30

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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.