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Finding the Fourth Proportional to 82,222.62, 113,467.17 and 46,412.94

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Solution

The fourth proportional to 82,222.62, 113,467.17 and 46,412.94 is: 64,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222.62 : 113,467.17 = 46,412.94 : x
  2. Step 2: Convert to fraction form
    82,222.62/113,467.17 = 46,412.94/x
  3. Step 3: Cross multiply
    82,222.62x = 113,467.17 × 46,412.94
  4. Step 4: Simplify right side
    82,222.62x = 5,266,344,953.18
  5. Step 5: Solve for x
    x = 5,266,344,953.18/82,222.62
  6. Step 6: Final answer
    x = 64,049.83

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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.