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Finding the Fourth Proportional to 50,047.98, 75,072.47 and 20,445.59

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Solution

The fourth proportional to 50,047.98, 75,072.47 and 20,445.59 is: 30,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,047.98 : 75,072.47 = 20,445.59 : x
  2. Step 2: Convert to fraction form
    50,047.98/75,072.47 = 20,445.59/x
  3. Step 3: Cross multiply
    50,047.98x = 75,072.47 × 20,445.59
  4. Step 4: Simplify right side
    50,047.98x = 1,534,900,464.32
  5. Step 5: Solve for x
    x = 1,534,900,464.32/50,047.98
  6. Step 6: Final answer
    x = 30,668.58

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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.