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Finding the Fourth Proportional to 76,232.70, 114,328.32 and 31,850.16

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Solution

The fourth proportional to 76,232.70, 114,328.32 and 31,850.16 is: 47,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,232.70 : 114,328.32 = 31,850.16 : x
  2. Step 2: Convert to fraction form
    76,232.70/114,328.32 = 31,850.16/x
  3. Step 3: Cross multiply
    76,232.70x = 114,328.32 × 31,850.16
  4. Step 4: Simplify right side
    76,232.70x = 3,641,375,284.53
  5. Step 5: Solve for x
    x = 3,641,375,284.53/76,232.70
  6. Step 6: Final answer
    x = 47,766.58

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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.