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Finding the Fourth Proportional to 73,182.80, 109,709.40 and 48,234.80

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Solution

The fourth proportional to 73,182.80, 109,709.40 and 48,234.80 is: 72,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,182.80 : 109,709.40 = 48,234.80 : x
  2. Step 2: Convert to fraction form
    73,182.80/109,709.40 = 48,234.80/x
  3. Step 3: Cross multiply
    73,182.80x = 109,709.40 × 48,234.80
  4. Step 4: Simplify right side
    73,182.80x = 5,291,810,967.12
  5. Step 5: Solve for x
    x = 5,291,810,967.12/73,182.80
  6. Step 6: Final answer
    x = 72,309.49

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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.