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Finding the Fourth Proportional to 82,914.82, 124,333.34 and 30,287.50

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Solution

The fourth proportional to 82,914.82, 124,333.34 and 30,287.50 is: 45,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914.82 : 124,333.34 = 30,287.50 : x
  2. Step 2: Convert to fraction form
    82,914.82/124,333.34 = 30,287.50/x
  3. Step 3: Cross multiply
    82,914.82x = 124,333.34 × 30,287.50
  4. Step 4: Simplify right side
    82,914.82x = 3,765,745,262.15
  5. Step 5: Solve for x
    x = 3,765,745,262.15/82,914.82
  6. Step 6: Final answer
    x = 45,417.04

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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.