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Finding the Fourth Proportional to 82,313.12, 113,586.20 and 48,323

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Solution

The fourth proportional to 82,313.12, 113,586.20 and 48,323 is: 66,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,313.12 : 113,586.20 = 48,323 : x
  2. Step 2: Convert to fraction form
    82,313.12/113,586.20 = 48,323/x
  3. Step 3: Cross multiply
    82,313.12x = 113,586.20 × 48,323
  4. Step 4: Simplify right side
    82,313.12x = 5,488,825,942.60
  5. Step 5: Solve for x
    x = 5,488,825,942.60/82,313.12
  6. Step 6: Final answer
    x = 66,682.27

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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.