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Finding the Fourth Proportional to 76,760.91, 115,145.46 and 24,174.50

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Solution

The fourth proportional to 76,760.91, 115,145.46 and 24,174.50 is: 36,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,760.91 : 115,145.46 = 24,174.50 : x
  2. Step 2: Convert to fraction form
    76,760.91/115,145.46 = 24,174.50/x
  3. Step 3: Cross multiply
    76,760.91x = 115,145.46 × 24,174.50
  4. Step 4: Simplify right side
    76,760.91x = 2,783,583,347.04
  5. Step 5: Solve for x
    x = 2,783,583,347.04/76,760.91
  6. Step 6: Final answer
    x = 36,263.03

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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.