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Finding the Fourth Proportional to 106,465.56, 159,698.33 and 27,579.78

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Solution

The fourth proportional to 106,465.56, 159,698.33 and 27,579.78 is: 41,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,465.56 : 159,698.33 = 27,579.78 : x
  2. Step 2: Convert to fraction form
    106,465.56/159,698.33 = 27,579.78/x
  3. Step 3: Cross multiply
    106,465.56x = 159,698.33 × 27,579.78
  4. Step 4: Simplify right side
    106,465.56x = 4,404,444,807.77
  5. Step 5: Solve for x
    x = 4,404,444,807.77/106,465.56
  6. Step 6: Final answer
    x = 41,369.67

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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.