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Finding the Fourth Proportional to 106,171.86, 159,028.11 and 49,927.71

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Solution

The fourth proportional to 106,171.86, 159,028.11 and 49,927.71 is: 74,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,171.86 : 159,028.11 = 49,927.71 : x
  2. Step 2: Convert to fraction form
    106,171.86/159,028.11 = 49,927.71/x
  3. Step 3: Cross multiply
    106,171.86x = 159,028.11 × 49,927.71
  4. Step 4: Simplify right side
    106,171.86x = 7,939,909,357.93
  5. Step 5: Solve for x
    x = 7,939,909,357.93/106,171.86
  6. Step 6: Final answer
    x = 74,783.56

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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.