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Finding the Fourth Proportional to 70,543.26, 105,830.57 and 33,083.37

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Solution

The fourth proportional to 70,543.26, 105,830.57 and 33,083.37 is: 49,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,543.26 : 105,830.57 = 33,083.37 : x
  2. Step 2: Convert to fraction form
    70,543.26/105,830.57 = 33,083.37/x
  3. Step 3: Cross multiply
    70,543.26x = 105,830.57 × 33,083.37
  4. Step 4: Simplify right side
    70,543.26x = 3,501,231,904.62
  5. Step 5: Solve for x
    x = 3,501,231,904.62/70,543.26
  6. Step 6: Final answer
    x = 49,632.41

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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.