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Finding the Fourth Proportional to 70,693.26, 105,809.11 and 51,968.34

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Solution

The fourth proportional to 70,693.26, 105,809.11 and 51,968.34 is: 77,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,693.26 : 105,809.11 = 51,968.34 : x
  2. Step 2: Convert to fraction form
    70,693.26/105,809.11 = 51,968.34/x
  3. Step 3: Cross multiply
    70,693.26x = 105,809.11 × 51,968.34
  4. Step 4: Simplify right side
    70,693.26x = 5,498,723,803.58
  5. Step 5: Solve for x
    x = 5,498,723,803.58/70,693.26
  6. Step 6: Final answer
    x = 77,782.86

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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.