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Finding the Fourth Proportional to 75,992.96, 104,872 and 42,458.88

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Solution

The fourth proportional to 75,992.96, 104,872 and 42,458.88 is: 58,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,992.96 : 104,872 = 42,458.88 : x
  2. Step 2: Convert to fraction form
    75,992.96/104,872 = 42,458.88/x
  3. Step 3: Cross multiply
    75,992.96x = 104,872 × 42,458.88
  4. Step 4: Simplify right side
    75,992.96x = 4,452,747,663.36
  5. Step 5: Solve for x
    x = 4,452,747,663.36/75,992.96
  6. Step 6: Final answer
    x = 58,594.21

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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.