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Finding the Fourth Proportional to 82,431.42, 123,660 and 26,284.11

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Solution

The fourth proportional to 82,431.42, 123,660 and 26,284.11 is: 39,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,431.42 : 123,660 = 26,284.11 : x
  2. Step 2: Convert to fraction form
    82,431.42/123,660 = 26,284.11/x
  3. Step 3: Cross multiply
    82,431.42x = 123,660 × 26,284.11
  4. Step 4: Simplify right side
    82,431.42x = 3,250,293,042.60
  5. Step 5: Solve for x
    x = 3,250,293,042.60/82,431.42
  6. Step 6: Final answer
    x = 39,430.27

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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.