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Finding the Fourth Proportional to 81,394.20, 112,318.65 and 45,576

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Solution

The fourth proportional to 81,394.20, 112,318.65 and 45,576 is: 62,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,394.20 : 112,318.65 = 45,576 : x
  2. Step 2: Convert to fraction form
    81,394.20/112,318.65 = 45,576/x
  3. Step 3: Cross multiply
    81,394.20x = 112,318.65 × 45,576
  4. Step 4: Simplify right side
    81,394.20x = 5,119,034,792.40
  5. Step 5: Solve for x
    x = 5,119,034,792.40/81,394.20
  6. Step 6: Final answer
    x = 62,891.89

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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.