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Finding the Fourth Proportional to 75,102, 103,640.76 and 41,568

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Solution

The fourth proportional to 75,102, 103,640.76 and 41,568 is: 57,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102 : 103,640.76 = 41,568 : x
  2. Step 2: Convert to fraction form
    75,102/103,640.76 = 41,568/x
  3. Step 3: Cross multiply
    75,102x = 103,640.76 × 41,568
  4. Step 4: Simplify right side
    75,102x = 4,308,139,111.68
  5. Step 5: Solve for x
    x = 4,308,139,111.68/75,102
  6. Step 6: Final answer
    x = 57,363.84

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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.