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Finding the Fourth Proportional to 82,378.68, 113,679.99 and 48,386.58

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Solution

The fourth proportional to 82,378.68, 113,679.99 and 48,386.58 is: 66,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.68 : 113,679.99 = 48,386.58 : x
  2. Step 2: Convert to fraction form
    82,378.68/113,679.99 = 48,386.58/x
  3. Step 3: Cross multiply
    82,378.68x = 113,679.99 × 48,386.58
  4. Step 4: Simplify right side
    82,378.68x = 5,500,585,930.53
  5. Step 5: Solve for x
    x = 5,500,585,930.53/82,378.68
  6. Step 6: Final answer
    x = 66,771.96

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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.