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Finding the Fourth Proportional to 82,384.98, 113,691.42 and 44,659.32

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Solution

The fourth proportional to 82,384.98, 113,691.42 and 44,659.32 is: 61,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,384.98 : 113,691.42 = 44,659.32 : x
  2. Step 2: Convert to fraction form
    82,384.98/113,691.42 = 44,659.32/x
  3. Step 3: Cross multiply
    82,384.98x = 113,691.42 × 44,659.32
  4. Step 4: Simplify right side
    82,384.98x = 5,077,381,507.03
  5. Step 5: Solve for x
    x = 5,077,381,507.03/82,384.98
  6. Step 6: Final answer
    x = 61,629.94

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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.