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Finding the Fourth Proportional to 82,383.54, 113,688.43 and 46,084.52

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Solution

The fourth proportional to 82,383.54, 113,688.43 and 46,084.52 is: 63,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,383.54 : 113,688.43 = 46,084.52 : x
  2. Step 2: Convert to fraction form
    82,383.54/113,688.43 = 46,084.52/x
  3. Step 3: Cross multiply
    82,383.54x = 113,688.43 × 46,084.52
  4. Step 4: Simplify right side
    82,383.54x = 5,239,275,927.24
  5. Step 5: Solve for x
    x = 5,239,275,927.24/82,383.54
  6. Step 6: Final answer
    x = 63,596.15

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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.