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Finding the Fourth Proportional to 75,720.38, 104,496.30 and 42,188.54

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Solution

The fourth proportional to 75,720.38, 104,496.30 and 42,188.54 is: 58,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,720.38 : 104,496.30 = 42,188.54 : x
  2. Step 2: Convert to fraction form
    75,720.38/104,496.30 = 42,188.54/x
  3. Step 3: Cross multiply
    75,720.38x = 104,496.30 × 42,188.54
  4. Step 4: Simplify right side
    75,720.38x = 4,408,545,809.92
  5. Step 5: Solve for x
    x = 4,408,545,809.92/75,720.38
  6. Step 6: Final answer
    x = 58,221.39

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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.