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Finding the Fourth Proportional to 75,737.81, 104,517.61 and 41,746.30

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Solution

The fourth proportional to 75,737.81, 104,517.61 and 41,746.30 is: 57,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,737.81 : 104,517.61 = 41,746.30 : x
  2. Step 2: Convert to fraction form
    75,737.81/104,517.61 = 41,746.30/x
  3. Step 3: Cross multiply
    75,737.81x = 104,517.61 × 41,746.30
  4. Step 4: Simplify right side
    75,737.81x = 4,363,223,136.68
  5. Step 5: Solve for x
    x = 4,363,223,136.68/75,737.81
  6. Step 6: Final answer
    x = 57,609.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.