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Finding the Fourth Proportional to 50,823.92, 76,232.21 and 15,762.66

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Solution

The fourth proportional to 50,823.92, 76,232.21 and 15,762.66 is: 23,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,823.92 : 76,232.21 = 15,762.66 : x
  2. Step 2: Convert to fraction form
    50,823.92/76,232.21 = 15,762.66/x
  3. Step 3: Cross multiply
    50,823.92x = 76,232.21 × 15,762.66
  4. Step 4: Simplify right side
    50,823.92x = 1,201,622,407.28
  5. Step 5: Solve for x
    x = 1,201,622,407.28/50,823.92
  6. Step 6: Final answer
    x = 23,642.85

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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.