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Finding the Fourth Proportional to 82,222.72, 123,284.16 and 32,242.96

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Solution

The fourth proportional to 82,222.72, 123,284.16 and 32,242.96 is: 48,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222.72 : 123,284.16 = 32,242.96 : x
  2. Step 2: Convert to fraction form
    82,222.72/123,284.16 = 32,242.96/x
  3. Step 3: Cross multiply
    82,222.72x = 123,284.16 × 32,242.96
  4. Step 4: Simplify right side
    82,222.72x = 3,975,046,239.51
  5. Step 5: Solve for x
    x = 3,975,046,239.51/82,222.72
  6. Step 6: Final answer
    x = 48,344.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.