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Finding the Fourth Proportional to 76,814.79, 115,222.18 and 24,228.37

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Solution

The fourth proportional to 76,814.79, 115,222.18 and 24,228.37 is: 36,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,814.79 : 115,222.18 = 24,228.37 : x
  2. Step 2: Convert to fraction form
    76,814.79/115,222.18 = 24,228.37/x
  3. Step 3: Cross multiply
    76,814.79x = 115,222.18 × 24,228.37
  4. Step 4: Simplify right side
    76,814.79x = 2,791,645,783.56
  5. Step 5: Solve for x
    x = 2,791,645,783.56/76,814.79
  6. Step 6: Final answer
    x = 36,342.56

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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.