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Finding the Fourth Proportional to 75,833.64, 104,657.04 and 41,845.32

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Solution

The fourth proportional to 75,833.64, 104,657.04 and 41,845.32 is: 57,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,833.64 : 104,657.04 = 41,845.32 : x
  2. Step 2: Convert to fraction form
    75,833.64/104,657.04 = 41,845.32/x
  3. Step 3: Cross multiply
    75,833.64x = 104,657.04 × 41,845.32
  4. Step 4: Simplify right side
    75,833.64x = 4,379,407,329.05
  5. Step 5: Solve for x
    x = 4,379,407,329.05/75,833.64
  6. Step 6: Final answer
    x = 57,750.19

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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.