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Finding the Fourth Proportional to 36,175.67, 49,878.32 and 26,586.37

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Solution

The fourth proportional to 36,175.67, 49,878.32 and 26,586.37 is: 36,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,175.67 : 49,878.32 = 26,586.37 : x
  2. Step 2: Convert to fraction form
    36,175.67/49,878.32 = 26,586.37/x
  3. Step 3: Cross multiply
    36,175.67x = 49,878.32 × 26,586.37
  4. Step 4: Simplify right side
    36,175.67x = 1,326,083,187.87
  5. Step 5: Solve for x
    x = 1,326,083,187.87/36,175.67
  6. Step 6: Final answer
    x = 36,656.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.