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Finding the Fourth Proportional to 82,265.96, 123,448.28 and 35,518.80

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Solution

The fourth proportional to 82,265.96, 123,448.28 and 35,518.80 is: 53,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,265.96 : 123,448.28 = 35,518.80 : x
  2. Step 2: Convert to fraction form
    82,265.96/123,448.28 = 35,518.80/x
  3. Step 3: Cross multiply
    82,265.96x = 123,448.28 × 35,518.80
  4. Step 4: Simplify right side
    82,265.96x = 4,384,734,767.66
  5. Step 5: Solve for x
    x = 4,384,734,767.66/82,265.96
  6. Step 6: Final answer
    x = 53,299.50

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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.