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Finding the Fourth Proportional to 50,841.34, 76,266.56 and 13,400.91

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Solution

The fourth proportional to 50,841.34, 76,266.56 and 13,400.91 is: 20,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,841.34 : 76,266.56 = 13,400.91 : x
  2. Step 2: Convert to fraction form
    50,841.34/76,266.56 = 13,400.91/x
  3. Step 3: Cross multiply
    50,841.34x = 76,266.56 × 13,400.91
  4. Step 4: Simplify right side
    50,841.34x = 1,022,041,340.07
  5. Step 5: Solve for x
    x = 1,022,041,340.07/50,841.34
  6. Step 6: Final answer
    x = 20,102.57

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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.