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Finding the Fourth Proportional to 82,871.10, 124,324.65 and 30,280.50

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Solution

The fourth proportional to 82,871.10, 124,324.65 and 30,280.50 is: 45,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871.10 : 124,324.65 = 30,280.50 : x
  2. Step 2: Convert to fraction form
    82,871.10/124,324.65 = 30,280.50/x
  3. Step 3: Cross multiply
    82,871.10x = 124,324.65 × 30,280.50
  4. Step 4: Simplify right side
    82,871.10x = 3,764,612,564.33
  5. Step 5: Solve for x
    x = 3,764,612,564.33/82,871.10
  6. Step 6: Final answer
    x = 45,427.33

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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.