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Finding the Fourth Proportional to 82,539.96, 113,905.16 and 44,814.22

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Solution

The fourth proportional to 82,539.96, 113,905.16 and 44,814.22 is: 61,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,539.96 : 113,905.16 = 44,814.22 : x
  2. Step 2: Convert to fraction form
    82,539.96/113,905.16 = 44,814.22/x
  3. Step 3: Cross multiply
    82,539.96x = 113,905.16 × 44,814.22
  4. Step 4: Simplify right side
    82,539.96x = 5,104,570,899.38
  5. Step 5: Solve for x
    x = 5,104,570,899.38/82,539.96
  6. Step 6: Final answer
    x = 61,843.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.