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Finding the Fourth Proportional to 70,579.20, 105,771.60 and 46,819.20

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Solution

The fourth proportional to 70,579.20, 105,771.60 and 46,819.20 is: 70,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,579.20 : 105,771.60 = 46,819.20 : x
  2. Step 2: Convert to fraction form
    70,579.20/105,771.60 = 46,819.20/x
  3. Step 3: Cross multiply
    70,579.20x = 105,771.60 × 46,819.20
  4. Step 4: Simplify right side
    70,579.20x = 4,952,141,694.72
  5. Step 5: Solve for x
    x = 4,952,141,694.72/70,579.20
  6. Step 6: Final answer
    x = 70,164.32

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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.