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Finding the Fourth Proportional to 70,071.54, 105,108.26 and 23,324.41

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Solution

The fourth proportional to 70,071.54, 105,108.26 and 23,324.41 is: 34,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,071.54 : 105,108.26 = 23,324.41 : x
  2. Step 2: Convert to fraction form
    70,071.54/105,108.26 = 23,324.41/x
  3. Step 3: Cross multiply
    70,071.54x = 105,108.26 × 23,324.41
  4. Step 4: Simplify right side
    70,071.54x = 2,451,588,150.63
  5. Step 5: Solve for x
    x = 2,451,588,150.63/70,071.54
  6. Step 6: Final answer
    x = 34,986.93

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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.