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Finding the Fourth Proportional to 82,416.70, 113,749.61 and 48,425.18

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Solution

The fourth proportional to 82,416.70, 113,749.61 and 48,425.18 is: 66,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,416.70 : 113,749.61 = 48,425.18 : x
  2. Step 2: Convert to fraction form
    82,416.70/113,749.61 = 48,425.18/x
  3. Step 3: Cross multiply
    82,416.70x = 113,749.61 × 48,425.18
  4. Step 4: Simplify right side
    82,416.70x = 5,508,344,528.31
  5. Step 5: Solve for x
    x = 5,508,344,528.31/82,416.70
  6. Step 6: Final answer
    x = 66,835.30

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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.