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Finding the Fourth Proportional to 82,253.81, 123,419.93 and 44,813.05

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Solution

The fourth proportional to 82,253.81, 123,419.93 and 44,813.05 is: 67,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,253.81 : 123,419.93 = 44,813.05 : x
  2. Step 2: Convert to fraction form
    82,253.81/123,419.93 = 44,813.05/x
  3. Step 3: Cross multiply
    82,253.81x = 123,419.93 × 44,813.05
  4. Step 4: Simplify right side
    82,253.81x = 5,530,822,961.47
  5. Step 5: Solve for x
    x = 5,530,822,961.47/82,253.81
  6. Step 6: Final answer
    x = 67,240.93

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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.