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Finding the Fourth Proportional to 82,102, 113,300.73 and 44,376.25

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Solution

The fourth proportional to 82,102, 113,300.73 and 44,376.25 is: 61,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,102 : 113,300.73 = 44,376.25 : x
  2. Step 2: Convert to fraction form
    82,102/113,300.73 = 44,376.25/x
  3. Step 3: Cross multiply
    82,102x = 113,300.73 × 44,376.25
  4. Step 4: Simplify right side
    82,102x = 5,027,861,519.66
  5. Step 5: Solve for x
    x = 5,027,861,519.66/82,102
  6. Step 6: Final answer
    x = 61,239.21

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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.