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Finding the Fourth Proportional to 41,858.36, 57,779.70 and 27,715.76

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Solution

The fourth proportional to 41,858.36, 57,779.70 and 27,715.76 is: 38,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,858.36 : 57,779.70 = 27,715.76 : x
  2. Step 2: Convert to fraction form
    41,858.36/57,779.70 = 27,715.76/x
  3. Step 3: Cross multiply
    41,858.36x = 57,779.70 × 27,715.76
  4. Step 4: Simplify right side
    41,858.36x = 1,601,408,298.07
  5. Step 5: Solve for x
    x = 1,601,408,298.07/41,858.36
  6. Step 6: Final answer
    x = 38,257.79

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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.