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Finding the Fourth Proportional to 61,093, 91,639.50 and 19,543.24

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Solution

The fourth proportional to 61,093, 91,639.50 and 19,543.24 is: 29,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,093 : 91,639.50 = 19,543.24 : x
  2. Step 2: Convert to fraction form
    61,093/91,639.50 = 19,543.24/x
  3. Step 3: Cross multiply
    61,093x = 91,639.50 × 19,543.24
  4. Step 4: Simplify right side
    61,093x = 1,790,932,741.98
  5. Step 5: Solve for x
    x = 1,790,932,741.98/61,093
  6. Step 6: Final answer
    x = 29,314.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.