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Finding the Fourth Proportional to 76,086.64, 114,107.61 and 28,667.50

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Solution

The fourth proportional to 76,086.64, 114,107.61 and 28,667.50 is: 42,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,086.64 : 114,107.61 = 28,667.50 : x
  2. Step 2: Convert to fraction form
    76,086.64/114,107.61 = 28,667.50/x
  3. Step 3: Cross multiply
    76,086.64x = 114,107.61 × 28,667.50
  4. Step 4: Simplify right side
    76,086.64x = 3,271,179,909.68
  5. Step 5: Solve for x
    x = 3,271,179,909.68/76,086.64
  6. Step 6: Final answer
    x = 42,992.83

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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.