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Finding the Fourth Proportional to 75,548.72, 104,260.92 and 42,014

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Solution

The fourth proportional to 75,548.72, 104,260.92 and 42,014 is: 57,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,548.72 : 104,260.92 = 42,014 : x
  2. Step 2: Convert to fraction form
    75,548.72/104,260.92 = 42,014/x
  3. Step 3: Cross multiply
    75,548.72x = 104,260.92 × 42,014
  4. Step 4: Simplify right side
    75,548.72x = 4,380,418,292.88
  5. Step 5: Solve for x
    x = 4,380,418,292.88/75,548.72
  6. Step 6: Final answer
    x = 57,981.37

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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.