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Finding the Fourth Proportional to 72,065.27, 108,070.23 and 49,811.24

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Solution

The fourth proportional to 72,065.27, 108,070.23 and 49,811.24 is: 74,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,065.27 : 108,070.23 = 49,811.24 : x
  2. Step 2: Convert to fraction form
    72,065.27/108,070.23 = 49,811.24/x
  3. Step 3: Cross multiply
    72,065.27x = 108,070.23 × 49,811.24
  4. Step 4: Simplify right side
    72,065.27x = 5,383,112,163.39
  5. Step 5: Solve for x
    x = 5,383,112,163.39/72,065.27
  6. Step 6: Final answer
    x = 74,697.73

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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.