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Finding the Fourth Proportional to 76,147.56, 114,232.46 and 23,561.15

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Solution

The fourth proportional to 76,147.56, 114,232.46 and 23,561.15 is: 35,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,147.56 : 114,232.46 = 23,561.15 : x
  2. Step 2: Convert to fraction form
    76,147.56/114,232.46 = 23,561.15/x
  3. Step 3: Cross multiply
    76,147.56x = 114,232.46 × 23,561.15
  4. Step 4: Simplify right side
    76,147.56x = 2,691,447,435.96
  5. Step 5: Solve for x
    x = 2,691,447,435.96/76,147.56
  6. Step 6: Final answer
    x = 35,345.16

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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.