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Finding the Fourth Proportional to 50,807.99, 76,238.01 and 24,184.10

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Solution

The fourth proportional to 50,807.99, 76,238.01 and 24,184.10 is: 36,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,807.99 : 76,238.01 = 24,184.10 : x
  2. Step 2: Convert to fraction form
    50,807.99/76,238.01 = 24,184.10/x
  3. Step 3: Cross multiply
    50,807.99x = 76,238.01 × 24,184.10
  4. Step 4: Simplify right side
    50,807.99x = 1,843,747,848.24
  5. Step 5: Solve for x
    x = 1,843,747,848.24/50,807.99
  6. Step 6: Final answer
    x = 36,288.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.