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Finding the Fourth Proportional to 75,876.95, 104,705.71 and 41,884.60

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Solution

The fourth proportional to 75,876.95, 104,705.71 and 41,884.60 is: 57,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,876.95 : 104,705.71 = 41,884.60 : x
  2. Step 2: Convert to fraction form
    75,876.95/104,705.71 = 41,884.60/x
  3. Step 3: Cross multiply
    75,876.95x = 104,705.71 × 41,884.60
  4. Step 4: Simplify right side
    75,876.95x = 4,385,556,781.07
  5. Step 5: Solve for x
    x = 4,385,556,781.07/75,876.95
  6. Step 6: Final answer
    x = 57,798.27

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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.