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Finding the Fourth Proportional to 35,898, 49,539.24 and 20,994

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Solution

The fourth proportional to 35,898, 49,539.24 and 20,994 is: 28,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898 : 49,539.24 = 20,994 : x
  2. Step 2: Convert to fraction form
    35,898/49,539.24 = 20,994/x
  3. Step 3: Cross multiply
    35,898x = 49,539.24 × 20,994
  4. Step 4: Simplify right side
    35,898x = 1,040,026,804.56
  5. Step 5: Solve for x
    x = 1,040,026,804.56/35,898
  6. Step 6: Final answer
    x = 28,971.72

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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.