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Finding the Fourth Proportional to 72,896.80, 100,597.12 and 41,075.94

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Solution

The fourth proportional to 72,896.80, 100,597.12 and 41,075.94 is: 56,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,896.80 : 100,597.12 = 41,075.94 : x
  2. Step 2: Convert to fraction form
    72,896.80/100,597.12 = 41,075.94/x
  3. Step 3: Cross multiply
    72,896.80x = 100,597.12 × 41,075.94
  4. Step 4: Simplify right side
    72,896.80x = 4,132,121,265.29
  5. Step 5: Solve for x
    x = 4,132,121,265.29/72,896.80
  6. Step 6: Final answer
    x = 56,684.54

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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.