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Finding the Fourth Proportional to 50,326.71, 75,460.49 and 20,709.06

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Solution

The fourth proportional to 50,326.71, 75,460.49 and 20,709.06 is: 31,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,326.71 : 75,460.49 = 20,709.06 : x
  2. Step 2: Convert to fraction form
    50,326.71/75,460.49 = 20,709.06/x
  3. Step 3: Cross multiply
    50,326.71x = 75,460.49 × 20,709.06
  4. Step 4: Simplify right side
    50,326.71x = 1,562,715,815.04
  5. Step 5: Solve for x
    x = 1,562,715,815.04/50,326.71
  6. Step 6: Final answer
    x = 31,051.42

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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.