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Finding the Fourth Proportional to 82,802.49, 124,205.78 and 30,211.97

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Solution

The fourth proportional to 82,802.49, 124,205.78 and 30,211.97 is: 45,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,802.49 : 124,205.78 = 30,211.97 : x
  2. Step 2: Convert to fraction form
    82,802.49/124,205.78 = 30,211.97/x
  3. Step 3: Cross multiply
    82,802.49x = 124,205.78 × 30,211.97
  4. Step 4: Simplify right side
    82,802.49x = 3,752,500,527.10
  5. Step 5: Solve for x
    x = 3,752,500,527.10/82,802.49
  6. Step 6: Final answer
    x = 45,318.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.