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Finding the Fourth Proportional to 82,431.45, 113,631.39 and 64,495.31

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Solution

The fourth proportional to 82,431.45, 113,631.39 and 64,495.31 is: 88,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,431.45 : 113,631.39 = 64,495.31 : x
  2. Step 2: Convert to fraction form
    82,431.45/113,631.39 = 64,495.31/x
  3. Step 3: Cross multiply
    82,431.45x = 113,631.39 × 64,495.31
  4. Step 4: Simplify right side
    82,431.45x = 7,328,692,386.48
  5. Step 5: Solve for x
    x = 7,328,692,386.48/82,431.45
  6. Step 6: Final answer
    x = 88,906.51

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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.