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Finding the Fourth Proportional to 72,896.67, 100,596.96 and 41,075.82

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Solution

The fourth proportional to 72,896.67, 100,596.96 and 41,075.82 is: 56,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,896.67 : 100,596.96 = 41,075.82 : x
  2. Step 2: Convert to fraction form
    72,896.67/100,596.96 = 41,075.82/x
  3. Step 3: Cross multiply
    72,896.67x = 100,596.96 × 41,075.82
  4. Step 4: Simplify right side
    72,896.67x = 4,132,102,621.51
  5. Step 5: Solve for x
    x = 4,132,102,621.51/72,896.67
  6. Step 6: Final answer
    x = 56,684.38

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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.