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Finding the Fourth Proportional to 82,271.96, 123,457.28 and 35,524.80

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Solution

The fourth proportional to 82,271.96, 123,457.28 and 35,524.80 is: 53,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,271.96 : 123,457.28 = 35,524.80 : x
  2. Step 2: Convert to fraction form
    82,271.96/123,457.28 = 35,524.80/x
  3. Step 3: Cross multiply
    82,271.96x = 123,457.28 × 35,524.80
  4. Step 4: Simplify right side
    82,271.96x = 4,385,795,180.54
  5. Step 5: Solve for x
    x = 4,385,795,180.54/82,271.96
  6. Step 6: Final answer
    x = 53,308.50

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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.