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Finding the Fourth Proportional to 82,605.70, 123,913.27 and 23,436.70

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Solution

The fourth proportional to 82,605.70, 123,913.27 and 23,436.70 is: 35,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,605.70 : 123,913.27 = 23,436.70 : x
  2. Step 2: Convert to fraction form
    82,605.70/123,913.27 = 23,436.70/x
  3. Step 3: Cross multiply
    82,605.70x = 123,913.27 × 23,436.70
  4. Step 4: Simplify right side
    82,605.70x = 2,904,118,135.01
  5. Step 5: Solve for x
    x = 2,904,118,135.01/82,605.70
  6. Step 6: Final answer
    x = 35,156.39

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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.