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Finding the Fourth Proportional to 73,103.27, 100,828.53 and 46,219.82

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Solution

The fourth proportional to 73,103.27, 100,828.53 and 46,219.82 is: 63,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,103.27 : 100,828.53 = 46,219.82 : x
  2. Step 2: Convert to fraction form
    73,103.27/100,828.53 = 46,219.82/x
  3. Step 3: Cross multiply
    73,103.27x = 100,828.53 × 46,219.82
  4. Step 4: Simplify right side
    73,103.27x = 4,660,276,003.32
  5. Step 5: Solve for x
    x = 4,660,276,003.32/73,103.27
  6. Step 6: Final answer
    x = 63,749.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.