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Finding the Fourth Proportional to 54,893, 75,795 and 42,125.96

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Solution

The fourth proportional to 54,893, 75,795 and 42,125.96 is: 58,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893 : 75,795 = 42,125.96 : x
  2. Step 2: Convert to fraction form
    54,893/75,795 = 42,125.96/x
  3. Step 3: Cross multiply
    54,893x = 75,795 × 42,125.96
  4. Step 4: Simplify right side
    54,893x = 3,192,937,138.20
  5. Step 5: Solve for x
    x = 3,192,937,138.20/54,893
  6. Step 6: Final answer
    x = 58,166.56

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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.