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Finding the Fourth Proportional to 82,363.50, 123,548.22 and 23,204.34

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Solution

The fourth proportional to 82,363.50, 123,548.22 and 23,204.34 is: 34,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,363.50 : 123,548.22 = 23,204.34 : x
  2. Step 2: Convert to fraction form
    82,363.50/123,548.22 = 23,204.34/x
  3. Step 3: Cross multiply
    82,363.50x = 123,548.22 × 23,204.34
  4. Step 4: Simplify right side
    82,363.50x = 2,866,854,903.27
  5. Step 5: Solve for x
    x = 2,866,854,903.27/82,363.50
  6. Step 6: Final answer
    x = 34,807.35

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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.