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Finding the Fourth Proportional to 76,756.19, 105,156.37 and 73,879.84

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Solution

The fourth proportional to 76,756.19, 105,156.37 and 73,879.84 is: 101,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,756.19 : 105,156.37 = 73,879.84 : x
  2. Step 2: Convert to fraction form
    76,756.19/105,156.37 = 73,879.84/x
  3. Step 3: Cross multiply
    76,756.19x = 105,156.37 × 73,879.84
  4. Step 4: Simplify right side
    76,756.19x = 7,768,935,790.58
  5. Step 5: Solve for x
    x = 7,768,935,790.58/76,756.19
  6. Step 6: Final answer
    x = 101,215.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.