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Finding the Fourth Proportional to 50,852.81, 76,272.71 and 13,415.69

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Solution

The fourth proportional to 50,852.81, 76,272.71 and 13,415.69 is: 20,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,852.81 : 76,272.71 = 13,415.69 : x
  2. Step 2: Convert to fraction form
    50,852.81/76,272.71 = 13,415.69/x
  3. Step 3: Cross multiply
    50,852.81x = 76,272.71 × 13,415.69
  4. Step 4: Simplify right side
    50,852.81x = 1,023,250,584.38
  5. Step 5: Solve for x
    x = 1,023,250,584.38/50,852.81
  6. Step 6: Final answer
    x = 20,121.81

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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.