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Finding the Fourth Proportional to 75,897.89, 104,740.75 and 41,908.54

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Solution

The fourth proportional to 75,897.89, 104,740.75 and 41,908.54 is: 57,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,897.89 : 104,740.75 = 41,908.54 : x
  2. Step 2: Convert to fraction form
    75,897.89/104,740.75 = 41,908.54/x
  3. Step 3: Cross multiply
    75,897.89x = 104,740.75 × 41,908.54
  4. Step 4: Simplify right side
    75,897.89x = 4,389,531,662.19
  5. Step 5: Solve for x
    x = 4,389,531,662.19/75,897.89
  6. Step 6: Final answer
    x = 57,834.70

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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.