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Finding the Fourth Proportional to 50,196.49, 69,271.80 and 27,534

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Solution

The fourth proportional to 50,196.49, 69,271.80 and 27,534 is: 37,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,196.49 : 69,271.80 = 27,534 : x
  2. Step 2: Convert to fraction form
    50,196.49/69,271.80 = 27,534/x
  3. Step 3: Cross multiply
    50,196.49x = 69,271.80 × 27,534
  4. Step 4: Simplify right side
    50,196.49x = 1,907,329,741.20
  5. Step 5: Solve for x
    x = 1,907,329,741.20/50,196.49
  6. Step 6: Final answer
    x = 37,997.27

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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.