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Finding the Fourth Proportional to 50,646.56, 75,986.24 and 24,347.88

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Solution

The fourth proportional to 50,646.56, 75,986.24 and 24,347.88 is: 36,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,646.56 : 75,986.24 = 24,347.88 : x
  2. Step 2: Convert to fraction form
    50,646.56/75,986.24 = 24,347.88/x
  3. Step 3: Cross multiply
    50,646.56x = 75,986.24 × 24,347.88
  4. Step 4: Simplify right side
    50,646.56x = 1,850,103,731.43
  5. Step 5: Solve for x
    x = 1,850,103,731.43/50,646.56
  6. Step 6: Final answer
    x = 36,529.71

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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.