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Finding the Fourth Proportional to 48,733.24, 73,100.02 and 11,797.24

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Solution

The fourth proportional to 48,733.24, 73,100.02 and 11,797.24 is: 17,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,733.24 : 73,100.02 = 11,797.24 : x
  2. Step 2: Convert to fraction form
    48,733.24/73,100.02 = 11,797.24/x
  3. Step 3: Cross multiply
    48,733.24x = 73,100.02 × 11,797.24
  4. Step 4: Simplify right side
    48,733.24x = 862,378,479.94
  5. Step 5: Solve for x
    x = 862,378,479.94/48,733.24
  6. Step 6: Final answer
    x = 17,695.90

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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.