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Finding the Fourth Proportional to 82,302.76, 123,429.73 and 34,917.22

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Solution

The fourth proportional to 82,302.76, 123,429.73 and 34,917.22 is: 52,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,302.76 : 123,429.73 = 34,917.22 : x
  2. Step 2: Convert to fraction form
    82,302.76/123,429.73 = 34,917.22/x
  3. Step 3: Cross multiply
    82,302.76x = 123,429.73 × 34,917.22
  4. Step 4: Simplify right side
    82,302.76x = 4,309,822,419.80
  5. Step 5: Solve for x
    x = 4,309,822,419.80/82,302.76
  6. Step 6: Final answer
    x = 52,365.47

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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.