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Finding the Fourth Proportional to 82,617.36, 114,012 and 44,891.52

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Solution

The fourth proportional to 82,617.36, 114,012 and 44,891.52 is: 61,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,617.36 : 114,012 = 44,891.52 : x
  2. Step 2: Convert to fraction form
    82,617.36/114,012 = 44,891.52/x
  3. Step 3: Cross multiply
    82,617.36x = 114,012 × 44,891.52
  4. Step 4: Simplify right side
    82,617.36x = 5,118,171,978.24
  5. Step 5: Solve for x
    x = 5,118,171,978.24/82,617.36
  6. Step 6: Final answer
    x = 61,950.32

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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.