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Finding the Fourth Proportional to 50,434.97, 75,615.39 and 24,158.16

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Solution

The fourth proportional to 50,434.97, 75,615.39 and 24,158.16 is: 36,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,434.97 : 75,615.39 = 24,158.16 : x
  2. Step 2: Convert to fraction form
    50,434.97/75,615.39 = 24,158.16/x
  3. Step 3: Cross multiply
    50,434.97x = 75,615.39 × 24,158.16
  4. Step 4: Simplify right side
    50,434.97x = 1,826,728,690.08
  5. Step 5: Solve for x
    x = 1,826,728,690.08/50,434.97
  6. Step 6: Final answer
    x = 36,219.49

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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.