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Finding the Fourth Proportional to 76,096.62, 114,159.29 and 23,493.83

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Solution

The fourth proportional to 76,096.62, 114,159.29 and 23,493.83 is: 35,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,096.62 : 114,159.29 = 23,493.83 : x
  2. Step 2: Convert to fraction form
    76,096.62/114,159.29 = 23,493.83/x
  3. Step 3: Cross multiply
    76,096.62x = 114,159.29 × 23,493.83
  4. Step 4: Simplify right side
    76,096.62x = 2,682,038,263.92
  5. Step 5: Solve for x
    x = 2,682,038,263.92/76,096.62
  6. Step 6: Final answer
    x = 35,245.17

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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.