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Finding the Fourth Proportional to 73,182.58, 109,749.27 and 28,797.70

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Solution

The fourth proportional to 73,182.58, 109,749.27 and 28,797.70 is: 43,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,182.58 : 109,749.27 = 28,797.70 : x
  2. Step 2: Convert to fraction form
    73,182.58/109,749.27 = 28,797.70/x
  3. Step 3: Cross multiply
    73,182.58x = 109,749.27 × 28,797.70
  4. Step 4: Simplify right side
    73,182.58x = 3,160,526,552.68
  5. Step 5: Solve for x
    x = 3,160,526,552.68/73,182.58
  6. Step 6: Final answer
    x = 43,186.87

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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.