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Finding the Fourth Proportional to 70,228.26, 96,965.76 and 43,407.54

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Solution

The fourth proportional to 70,228.26, 96,965.76 and 43,407.54 is: 59,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,228.26 : 96,965.76 = 43,407.54 : x
  2. Step 2: Convert to fraction form
    70,228.26/96,965.76 = 43,407.54/x
  3. Step 3: Cross multiply
    70,228.26x = 96,965.76 × 43,407.54
  4. Step 4: Simplify right side
    70,228.26x = 4,209,045,105.83
  5. Step 5: Solve for x
    x = 4,209,045,105.83/70,228.26
  6. Step 6: Final answer
    x = 59,933.78

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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.