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Finding the Fourth Proportional to 82,322.52, 113,605.38 and 44,596.68

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Solution

The fourth proportional to 82,322.52, 113,605.38 and 44,596.68 is: 61,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,322.52 : 113,605.38 = 44,596.68 : x
  2. Step 2: Convert to fraction form
    82,322.52/113,605.38 = 44,596.68/x
  3. Step 3: Cross multiply
    82,322.52x = 113,605.38 × 44,596.68
  4. Step 4: Simplify right side
    82,322.52x = 5,066,422,778.14
  5. Step 5: Solve for x
    x = 5,066,422,778.14/82,322.52
  6. Step 6: Final answer
    x = 61,543.58

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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.