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Finding the Fourth Proportional to 49,892.56, 68,851.64 and 27,536.56

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Solution

The fourth proportional to 49,892.56, 68,851.64 and 27,536.56 is: 38,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,892.56 : 68,851.64 = 27,536.56 : x
  2. Step 2: Convert to fraction form
    49,892.56/68,851.64 = 27,536.56/x
  3. Step 3: Cross multiply
    49,892.56x = 68,851.64 × 27,536.56
  4. Step 4: Simplify right side
    49,892.56x = 1,895,937,315.96
  5. Step 5: Solve for x
    x = 1,895,937,315.96/49,892.56
  6. Step 6: Final answer
    x = 38,000.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.