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Finding the Fourth Proportional to 78,493.37, 108,288.87 and 44,494.65

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Solution

The fourth proportional to 78,493.37, 108,288.87 and 44,494.65 is: 61,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,493.37 : 108,288.87 = 44,494.65 : x
  2. Step 2: Convert to fraction form
    78,493.37/108,288.87 = 44,494.65/x
  3. Step 3: Cross multiply
    78,493.37x = 108,288.87 × 44,494.65
  4. Step 4: Simplify right side
    78,493.37x = 4,818,275,369.55
  5. Step 5: Solve for x
    x = 4,818,275,369.55/78,493.37
  6. Step 6: Final answer
    x = 61,384.49

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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.