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Finding the Fourth Proportional to 50,876.42, 76,237.14 and 25,879

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Solution

The fourth proportional to 50,876.42, 76,237.14 and 25,879 is: 38,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876.42 : 76,237.14 = 25,879 : x
  2. Step 2: Convert to fraction form
    50,876.42/76,237.14 = 25,879/x
  3. Step 3: Cross multiply
    50,876.42x = 76,237.14 × 25,879
  4. Step 4: Simplify right side
    50,876.42x = 1,972,940,946.06
  5. Step 5: Solve for x
    x = 1,972,940,946.06/50,876.42
  6. Step 6: Final answer
    x = 38,779.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.