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Finding the Fourth Proportional to 77,788.90, 116,701.89 and 25,198.30

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Solution

The fourth proportional to 77,788.90, 116,701.89 and 25,198.30 is: 37,803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,788.90 : 116,701.89 = 25,198.30 : x
  2. Step 2: Convert to fraction form
    77,788.90/116,701.89 = 25,198.30/x
  3. Step 3: Cross multiply
    77,788.90x = 116,701.89 × 25,198.30
  4. Step 4: Simplify right side
    77,788.90x = 2,940,689,234.79
  5. Step 5: Solve for x
    x = 2,940,689,234.79/77,788.90
  6. Step 6: Final answer
    x = 37,803.46

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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.