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Finding the Fourth Proportional to 82,457.62, 113,791.28 and 44,731.88

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Solution

The fourth proportional to 82,457.62, 113,791.28 and 44,731.88 is: 61,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,457.62 : 113,791.28 = 44,731.88 : x
  2. Step 2: Convert to fraction form
    82,457.62/113,791.28 = 44,731.88/x
  3. Step 3: Cross multiply
    82,457.62x = 113,791.28 × 44,731.88
  4. Step 4: Simplify right side
    82,457.62x = 5,090,097,882.01
  5. Step 5: Solve for x
    x = 5,090,097,882.01/82,457.62
  6. Step 6: Final answer
    x = 61,729.87

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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.