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Finding the Fourth Proportional to 75,426.78, 104,089.65 and 41,436

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Solution

The fourth proportional to 75,426.78, 104,089.65 and 41,436 is: 57,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,426.78 : 104,089.65 = 41,436 : x
  2. Step 2: Convert to fraction form
    75,426.78/104,089.65 = 41,436/x
  3. Step 3: Cross multiply
    75,426.78x = 104,089.65 × 41,436
  4. Step 4: Simplify right side
    75,426.78x = 4,313,058,737.40
  5. Step 5: Solve for x
    x = 4,313,058,737.40/75,426.78
  6. Step 6: Final answer
    x = 57,182.06

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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.