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Finding the Fourth Proportional to 54,842.16, 82,266.12 and 17,405.10

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Solution

The fourth proportional to 54,842.16, 82,266.12 and 17,405.10 is: 26,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842.16 : 82,266.12 = 17,405.10 : x
  2. Step 2: Convert to fraction form
    54,842.16/82,266.12 = 17,405.10/x
  3. Step 3: Cross multiply
    54,842.16x = 82,266.12 × 17,405.10
  4. Step 4: Simplify right side
    54,842.16x = 1,431,850,045.21
  5. Step 5: Solve for x
    x = 1,431,850,045.21/54,842.16
  6. Step 6: Final answer
    x = 26,108.56

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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.