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Finding the Fourth Proportional to 106,596.23, 159,840.80 and 35,493.74

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Solution

The fourth proportional to 106,596.23, 159,840.80 and 35,493.74 is: 53,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,596.23 : 159,840.80 = 35,493.74 : x
  2. Step 2: Convert to fraction form
    106,596.23/159,840.80 = 35,493.74/x
  3. Step 3: Cross multiply
    106,596.23x = 159,840.80 × 35,493.74
  4. Step 4: Simplify right side
    106,596.23x = 5,673,346,819.92
  5. Step 5: Solve for x
    x = 5,673,346,819.92/106,596.23
  6. Step 6: Final answer
    x = 53,222.77

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1.5x scale

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.