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Finding the Fourth Proportional to 75,878.56, 104,722.32 and 42,351.52

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Solution

The fourth proportional to 75,878.56, 104,722.32 and 42,351.52 is: 58,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.56 : 104,722.32 = 42,351.52 : x
  2. Step 2: Convert to fraction form
    75,878.56/104,722.32 = 42,351.52/x
  3. Step 3: Cross multiply
    75,878.56x = 104,722.32 × 42,351.52
  4. Step 4: Simplify right side
    75,878.56x = 4,435,149,429.93
  5. Step 5: Solve for x
    x = 4,435,149,429.93/75,878.56
  6. Step 6: Final answer
    x = 58,450.63

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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.