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Finding the Fourth Proportional to 50,653.38, 75,974.31 and 13,714.50

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Solution

The fourth proportional to 50,653.38, 75,974.31 and 13,714.50 is: 20,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.38 : 75,974.31 = 13,714.50 : x
  2. Step 2: Convert to fraction form
    50,653.38/75,974.31 = 13,714.50/x
  3. Step 3: Cross multiply
    50,653.38x = 75,974.31 × 13,714.50
  4. Step 4: Simplify right side
    50,653.38x = 1,041,949,674.50
  5. Step 5: Solve for x
    x = 1,041,949,674.50/50,653.38
  6. Step 6: Final answer
    x = 20,570.19

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