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Finding the Fourth Proportional to 77,954.67, 116,919.86 and 25,363.80

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Solution

The fourth proportional to 77,954.67, 116,919.86 and 25,363.80 is: 38,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,954.67 : 116,919.86 = 25,363.80 : x
  2. Step 2: Convert to fraction form
    77,954.67/116,919.86 = 25,363.80/x
  3. Step 3: Cross multiply
    77,954.67x = 116,919.86 × 25,363.80
  4. Step 4: Simplify right side
    77,954.67x = 2,965,531,818.25
  5. Step 5: Solve for x
    x = 2,965,531,818.25/77,954.67
  6. Step 6: Final answer
    x = 38,041.75

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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.