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Finding the Fourth Proportional to 82,431.36, 113,755.32 and 44,705.61

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Solution

The fourth proportional to 82,431.36, 113,755.32 and 44,705.61 is: 61,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,431.36 : 113,755.32 = 44,705.61 : x
  2. Step 2: Convert to fraction form
    82,431.36/113,755.32 = 44,705.61/x
  3. Step 3: Cross multiply
    82,431.36x = 113,755.32 × 44,705.61
  4. Step 4: Simplify right side
    82,431.36x = 5,085,500,971.35
  5. Step 5: Solve for x
    x = 5,085,500,971.35/82,431.36
  6. Step 6: Final answer
    x = 61,693.77

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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.