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Finding the Fourth Proportional to 35,701.68, 49,245.94 and 22,971.44

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Solution

The fourth proportional to 35,701.68, 49,245.94 and 22,971.44 is: 31,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.68 : 49,245.94 = 22,971.44 : x
  2. Step 2: Convert to fraction form
    35,701.68/49,245.94 = 22,971.44/x
  3. Step 3: Cross multiply
    35,701.68x = 49,245.94 × 22,971.44
  4. Step 4: Simplify right side
    35,701.68x = 1,131,250,155.95
  5. Step 5: Solve for x
    x = 1,131,250,155.95/35,701.68
  6. Step 6: Final answer
    x = 31,686.19

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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.