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Finding the Fourth Proportional to 82,269.96, 123,454.28 and 35,522.80

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Solution

The fourth proportional to 82,269.96, 123,454.28 and 35,522.80 is: 53,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,269.96 : 123,454.28 = 35,522.80 : x
  2. Step 2: Convert to fraction form
    82,269.96/123,454.28 = 35,522.80/x
  3. Step 3: Cross multiply
    82,269.96x = 123,454.28 × 35,522.80
  4. Step 4: Simplify right side
    82,269.96x = 4,385,441,697.58
  5. Step 5: Solve for x
    x = 4,385,441,697.58/82,269.96
  6. Step 6: Final answer
    x = 53,305.50

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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.