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Finding the Fourth Proportional to 75,897.75, 104,733.48 and 41,900.74

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Solution

The fourth proportional to 75,897.75, 104,733.48 and 41,900.74 is: 57,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,897.75 : 104,733.48 = 41,900.74 : x
  2. Step 2: Convert to fraction form
    75,897.75/104,733.48 = 41,900.74/x
  3. Step 3: Cross multiply
    75,897.75x = 104,733.48 × 41,900.74
  4. Step 4: Simplify right side
    75,897.75x = 4,388,410,314.78
  5. Step 5: Solve for x
    x = 4,388,410,314.78/75,897.75
  6. Step 6: Final answer
    x = 57,820.04

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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.