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Finding the Fourth Proportional to 82,748.25, 114,194.41 and 45,022.50

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Solution

The fourth proportional to 82,748.25, 114,194.41 and 45,022.50 is: 62,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,748.25 : 114,194.41 = 45,022.50 : x
  2. Step 2: Convert to fraction form
    82,748.25/114,194.41 = 45,022.50/x
  3. Step 3: Cross multiply
    82,748.25x = 114,194.41 × 45,022.50
  4. Step 4: Simplify right side
    82,748.25x = 5,141,317,711.67
  5. Step 5: Solve for x
    x = 5,141,317,711.67/82,748.25
  6. Step 6: Final answer
    x = 62,132.04

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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.