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Finding the Fourth Proportional to 75,938.40, 104,033.88 and 73,098.81

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Solution

The fourth proportional to 75,938.40, 104,033.88 and 73,098.81 is: 100,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,938.40 : 104,033.88 = 73,098.81 : x
  2. Step 2: Convert to fraction form
    75,938.40/104,033.88 = 73,098.81/x
  3. Step 3: Cross multiply
    75,938.40x = 104,033.88 × 73,098.81
  4. Step 4: Simplify right side
    75,938.40x = 7,604,752,827.68
  5. Step 5: Solve for x
    x = 7,604,752,827.68/75,938.40
  6. Step 6: Final answer
    x = 100,143.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.