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Finding the Fourth Proportional to 82,891.29, 114,389.99 and 45,165.54

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Solution

The fourth proportional to 82,891.29, 114,389.99 and 45,165.54 is: 62,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,891.29 : 114,389.99 = 45,165.54 : x
  2. Step 2: Convert to fraction form
    82,891.29/114,389.99 = 45,165.54/x
  3. Step 3: Cross multiply
    82,891.29x = 114,389.99 × 45,165.54
  4. Step 4: Simplify right side
    82,891.29x = 5,166,485,668.94
  5. Step 5: Solve for x
    x = 5,166,485,668.94/82,891.29
  6. Step 6: Final answer
    x = 62,328.45

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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.