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Finding the Fourth Proportional to 82,263.70, 123,403.08 and 23,098.97

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Solution

The fourth proportional to 82,263.70, 123,403.08 and 23,098.97 is: 34,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,263.70 : 123,403.08 = 23,098.97 : x
  2. Step 2: Convert to fraction form
    82,263.70/123,403.08 = 23,098.97/x
  3. Step 3: Cross multiply
    82,263.70x = 123,403.08 × 23,098.97
  4. Step 4: Simplify right side
    82,263.70x = 2,850,483,801.95
  5. Step 5: Solve for x
    x = 2,850,483,801.95/82,263.70
  6. Step 6: Final answer
    x = 34,650.57

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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.