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Finding the Fourth Proportional to 82,223.39, 113,468.58 and 44,497.64

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Solution

The fourth proportional to 82,223.39, 113,468.58 and 44,497.64 is: 61,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,223.39 : 113,468.58 = 44,497.64 : x
  2. Step 2: Convert to fraction form
    82,223.39/113,468.58 = 44,497.64/x
  3. Step 3: Cross multiply
    82,223.39x = 113,468.58 × 44,497.64
  4. Step 4: Simplify right side
    82,223.39x = 5,049,083,456.81
  5. Step 5: Solve for x
    x = 5,049,083,456.81/82,223.39
  6. Step 6: Final answer
    x = 61,406.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.