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Finding the Fourth Proportional to 116,950.77, 175,415.22 and 32,718.51

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Solution

The fourth proportional to 116,950.77, 175,415.22 and 32,718.51 is: 49,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,950.77 : 175,415.22 = 32,718.51 : x
  2. Step 2: Convert to fraction form
    116,950.77/175,415.22 = 32,718.51/x
  3. Step 3: Cross multiply
    116,950.77x = 175,415.22 × 32,718.51
  4. Step 4: Simplify right side
    116,950.77x = 5,739,324,629.72
  5. Step 5: Solve for x
    x = 5,739,324,629.72/116,950.77
  6. Step 6: Final answer
    x = 49,074.71

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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.