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Finding the Fourth Proportional to 82,383.12, 113,689.44 and 44,657.36

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Solution

The fourth proportional to 82,383.12, 113,689.44 and 44,657.36 is: 61,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,383.12 : 113,689.44 = 44,657.36 : x
  2. Step 2: Convert to fraction form
    82,383.12/113,689.44 = 44,657.36/x
  3. Step 3: Cross multiply
    82,383.12x = 113,689.44 × 44,657.36
  4. Step 4: Simplify right side
    82,383.12x = 5,077,070,250.28
  5. Step 5: Solve for x
    x = 5,077,070,250.28/82,383.12
  6. Step 6: Final answer
    x = 61,627.55

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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.