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Finding the Fourth Proportional to 106,327.86, 159,486.48 and 39,763.09

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Solution

The fourth proportional to 106,327.86, 159,486.48 and 39,763.09 is: 59,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,327.86 : 159,486.48 = 39,763.09 : x
  2. Step 2: Convert to fraction form
    106,327.86/159,486.48 = 39,763.09/x
  3. Step 3: Cross multiply
    106,327.86x = 159,486.48 × 39,763.09
  4. Step 4: Simplify right side
    106,327.86x = 6,341,675,606.49
  5. Step 5: Solve for x
    x = 6,341,675,606.49/106,327.86
  6. Step 6: Final answer
    x = 59,642.65

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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.