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Finding the Fourth Proportional to 41,534, 57,296.96 and 27,187.51

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Solution

The fourth proportional to 41,534, 57,296.96 and 27,187.51 is: 37,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,534 : 57,296.96 = 27,187.51 : x
  2. Step 2: Convert to fraction form
    41,534/57,296.96 = 27,187.51/x
  3. Step 3: Cross multiply
    41,534x = 57,296.96 × 27,187.51
  4. Step 4: Simplify right side
    41,534x = 1,557,761,386.48
  5. Step 5: Solve for x
    x = 1,557,761,386.48/41,534
  6. Step 6: Final answer
    x = 37,505.69

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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.