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Finding the Fourth Proportional to 82,228.50, 123,328.17 and 23,069.34

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Solution

The fourth proportional to 82,228.50, 123,328.17 and 23,069.34 is: 34,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,228.50 : 123,328.17 = 23,069.34 : x
  2. Step 2: Convert to fraction form
    82,228.50/123,328.17 = 23,069.34/x
  3. Step 3: Cross multiply
    82,228.50x = 123,328.17 × 23,069.34
  4. Step 4: Simplify right side
    82,228.50x = 2,845,099,485.31
  5. Step 5: Solve for x
    x = 2,845,099,485.31/82,228.50
  6. Step 6: Final answer
    x = 34,599.92

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Why These Related Problems?

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