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Finding the Fourth Proportional to 82,493.32, 113,835.36 and 46,687

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Solution

The fourth proportional to 82,493.32, 113,835.36 and 46,687 is: 64,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,493.32 : 113,835.36 = 46,687 : x
  2. Step 2: Convert to fraction form
    82,493.32/113,835.36 = 46,687/x
  3. Step 3: Cross multiply
    82,493.32x = 113,835.36 × 46,687
  4. Step 4: Simplify right side
    82,493.32x = 5,314,631,452.32
  5. Step 5: Solve for x
    x = 5,314,631,452.32/82,493.32
  6. Step 6: Final answer
    x = 64,424.99

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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.