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Finding the Fourth Proportional to 84,645.77, 116,806.64 and 48,833.64

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Solution

The fourth proportional to 84,645.77, 116,806.64 and 48,833.64 is: 67,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,645.77 : 116,806.64 = 48,833.64 : x
  2. Step 2: Convert to fraction form
    84,645.77/116,806.64 = 48,833.64/x
  3. Step 3: Cross multiply
    84,645.77x = 116,806.64 × 48,833.64
  4. Step 4: Simplify right side
    84,645.77x = 5,704,093,163.20
  5. Step 5: Solve for x
    x = 5,704,093,163.20/84,645.77
  6. Step 6: Final answer
    x = 67,387.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.