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Finding the Fourth Proportional to 50,765.76, 76,146.27 and 13,325.00

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Solution

The fourth proportional to 50,765.76, 76,146.27 and 13,325.00 is: 19,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,765.76 : 76,146.27 = 13,325.00 : x
  2. Step 2: Convert to fraction form
    50,765.76/76,146.27 = 13,325.00/x
  3. Step 3: Cross multiply
    50,765.76x = 76,146.27 × 13,325.00
  4. Step 4: Simplify right side
    50,765.76x = 1,014,648,667.02
  5. Step 5: Solve for x
    x = 1,014,648,667.02/50,765.76
  6. Step 6: Final answer
    x = 19,986.87

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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.