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Finding the Fourth Proportional to 75,849.76, 104,671.76 and 41,858.52

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Solution

The fourth proportional to 75,849.76, 104,671.76 and 41,858.52 is: 57,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,849.76 : 104,671.76 = 41,858.52 : x
  2. Step 2: Convert to fraction form
    75,849.76/104,671.76 = 41,858.52/x
  3. Step 3: Cross multiply
    75,849.76x = 104,671.76 × 41,858.52
  4. Step 4: Simplify right side
    75,849.76x = 4,381,404,959.40
  5. Step 5: Solve for x
    x = 4,381,404,959.40/75,849.76
  6. Step 6: Final answer
    x = 57,764.26

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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.