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Finding the Fourth Proportional to 82,491.29, 113,837.98 and 44,765.54

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Solution

The fourth proportional to 82,491.29, 113,837.98 and 44,765.54 is: 61,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,491.29 : 113,837.98 = 44,765.54 : x
  2. Step 2: Convert to fraction form
    82,491.29/113,837.98 = 44,765.54/x
  3. Step 3: Cross multiply
    82,491.29x = 113,837.98 × 44,765.54
  4. Step 4: Simplify right side
    82,491.29x = 5,096,018,423.38
  5. Step 5: Solve for x
    x = 5,096,018,423.38/82,491.29
  6. Step 6: Final answer
    x = 61,776.44

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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.