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Finding the Fourth Proportional to 75,732.46, 113,544 and 23,113.24

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Solution

The fourth proportional to 75,732.46, 113,544 and 23,113.24 is: 34,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,732.46 : 113,544 = 23,113.24 : x
  2. Step 2: Convert to fraction form
    75,732.46/113,544 = 23,113.24/x
  3. Step 3: Cross multiply
    75,732.46x = 113,544 × 23,113.24
  4. Step 4: Simplify right side
    75,732.46x = 2,624,369,438.70
  5. Step 5: Solve for x
    x = 2,624,369,438.70/75,732.46
  6. Step 6: Final answer
    x = 34,653.17

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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.