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Finding the Fourth Proportional to 71,158.30, 106,739.61 and 24,410.50

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Solution

The fourth proportional to 71,158.30, 106,739.61 and 24,410.50 is: 36,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.30 : 106,739.61 = 24,410.50 : x
  2. Step 2: Convert to fraction form
    71,158.30/106,739.61 = 24,410.50/x
  3. Step 3: Cross multiply
    71,158.30x = 106,739.61 × 24,410.50
  4. Step 4: Simplify right side
    71,158.30x = 2,605,567,249.91
  5. Step 5: Solve for x
    x = 2,605,567,249.91/71,158.30
  6. Step 6: Final answer
    x = 36,616.49

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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.