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Finding the Fourth Proportional to 50,652.45, 75,932.24 and 19,464.21

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Solution

The fourth proportional to 50,652.45, 75,932.24 and 19,464.21 is: 29,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652.45 : 75,932.24 = 19,464.21 : x
  2. Step 2: Convert to fraction form
    50,652.45/75,932.24 = 19,464.21/x
  3. Step 3: Cross multiply
    50,652.45x = 75,932.24 × 19,464.21
  4. Step 4: Simplify right side
    50,652.45x = 1,477,960,967.81
  5. Step 5: Solve for x
    x = 1,477,960,967.81/50,652.45
  6. Step 6: Final answer
    x = 29,178.47

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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.