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Finding the Fourth Proportional to 76,390.80, 114,586.20 and 32,005.68

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Solution

The fourth proportional to 76,390.80, 114,586.20 and 32,005.68 is: 48,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,390.80 : 114,586.20 = 32,005.68 : x
  2. Step 2: Convert to fraction form
    76,390.80/114,586.20 = 32,005.68/x
  3. Step 3: Cross multiply
    76,390.80x = 114,586.20 × 32,005.68
  4. Step 4: Simplify right side
    76,390.80x = 3,667,409,249.62
  5. Step 5: Solve for x
    x = 3,667,409,249.62/76,390.80
  6. Step 6: Final answer
    x = 48,008.52

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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.