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Finding the Fourth Proportional to 70,608.26, 105,926.96 and 20,689.98

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Solution

The fourth proportional to 70,608.26, 105,926.96 and 20,689.98 is: 31,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,608.26 : 105,926.96 = 20,689.98 : x
  2. Step 2: Convert to fraction form
    70,608.26/105,926.96 = 20,689.98/x
  3. Step 3: Cross multiply
    70,608.26x = 105,926.96 × 20,689.98
  4. Step 4: Simplify right side
    70,608.26x = 2,191,626,735.59
  5. Step 5: Solve for x
    x = 2,191,626,735.59/70,608.26
  6. Step 6: Final answer
    x = 31,039.24

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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.