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Finding the Fourth Proportional to 70,456.44, 105,684.72 and 23,709.36

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Solution

The fourth proportional to 70,456.44, 105,684.72 and 23,709.36 is: 35,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,456.44 : 105,684.72 = 23,709.36 : x
  2. Step 2: Convert to fraction form
    70,456.44/105,684.72 = 23,709.36/x
  3. Step 3: Cross multiply
    70,456.44x = 105,684.72 × 23,709.36
  4. Step 4: Simplify right side
    70,456.44x = 2,505,717,072.98
  5. Step 5: Solve for x
    x = 2,505,717,072.98/70,456.44
  6. Step 6: Final answer
    x = 35,564.06

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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.