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Finding the Fourth Proportional to 75,300.38, 103,914.59 and 41,766.38

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Solution

The fourth proportional to 75,300.38, 103,914.59 and 41,766.38 is: 57,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,300.38 : 103,914.59 = 41,766.38 : x
  2. Step 2: Convert to fraction form
    75,300.38/103,914.59 = 41,766.38/x
  3. Step 3: Cross multiply
    75,300.38x = 103,914.59 × 41,766.38
  4. Step 4: Simplify right side
    75,300.38x = 4,340,136,253.48
  5. Step 5: Solve for x
    x = 4,340,136,253.48/75,300.38
  6. Step 6: Final answer
    x = 57,637.64

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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.