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Finding the Fourth Proportional to 75,874.94, 104,707.43 and 41,883.45

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Solution

The fourth proportional to 75,874.94, 104,707.43 and 41,883.45 is: 57,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.94 : 104,707.43 = 41,883.45 : x
  2. Step 2: Convert to fraction form
    75,874.94/104,707.43 = 41,883.45/x
  3. Step 3: Cross multiply
    75,874.94x = 104,707.43 × 41,883.45
  4. Step 4: Simplify right side
    75,874.94x = 4,385,508,513.74
  5. Step 5: Solve for x
    x = 4,385,508,513.74/75,874.94
  6. Step 6: Final answer
    x = 57,799.17

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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.