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Finding the Fourth Proportional to 70,093.89, 105,138.09 and 23,346.75

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Solution

The fourth proportional to 70,093.89, 105,138.09 and 23,346.75 is: 35,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,093.89 : 105,138.09 = 23,346.75 : x
  2. Step 2: Convert to fraction form
    70,093.89/105,138.09 = 23,346.75/x
  3. Step 3: Cross multiply
    70,093.89x = 105,138.09 × 23,346.75
  4. Step 4: Simplify right side
    70,093.89x = 2,454,632,702.71
  5. Step 5: Solve for x
    x = 2,454,632,702.71/70,093.89
  6. Step 6: Final answer
    x = 35,019.21

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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.