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Finding the Fourth Proportional to 75,295.64, 103,914.66 and 41,310.71

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Solution

The fourth proportional to 75,295.64, 103,914.66 and 41,310.71 is: 57,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,295.64 : 103,914.66 = 41,310.71 : x
  2. Step 2: Convert to fraction form
    75,295.64/103,914.66 = 41,310.71/x
  3. Step 3: Cross multiply
    75,295.64x = 103,914.66 × 41,310.71
  4. Step 4: Simplify right side
    75,295.64x = 4,292,788,409.03
  5. Step 5: Solve for x
    x = 4,292,788,409.03/75,295.64
  6. Step 6: Final answer
    x = 57,012.44

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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.