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Finding the Fourth Proportional to 82,142, 113,356 and 44,416.24

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Solution

The fourth proportional to 82,142, 113,356 and 44,416.24 is: 61,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142 : 113,356 = 44,416.24 : x
  2. Step 2: Convert to fraction form
    82,142/113,356 = 44,416.24/x
  3. Step 3: Cross multiply
    82,142x = 113,356 × 44,416.24
  4. Step 4: Simplify right side
    82,142x = 5,034,847,301.44
  5. Step 5: Solve for x
    x = 5,034,847,301.44/82,142
  6. Step 6: Final answer
    x = 61,294.43

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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.