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Finding the Fourth Proportional to 76,487.31, 114,667.77 and 33,762.30

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Solution

The fourth proportional to 76,487.31, 114,667.77 and 33,762.30 is: 50,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,487.31 : 114,667.77 = 33,762.30 : x
  2. Step 2: Convert to fraction form
    76,487.31/114,667.77 = 33,762.30/x
  3. Step 3: Cross multiply
    76,487.31x = 114,667.77 × 33,762.30
  4. Step 4: Simplify right side
    76,487.31x = 3,871,447,651.07
  5. Step 5: Solve for x
    x = 3,871,447,651.07/76,487.31
  6. Step 6: Final answer
    x = 50,615.56

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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.