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Finding the Fourth Proportional to 43,782.70, 60,423.20 and 24,919.82

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Solution

The fourth proportional to 43,782.70, 60,423.20 and 24,919.82 is: 34,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.70 : 60,423.20 = 24,919.82 : x
  2. Step 2: Convert to fraction form
    43,782.70/60,423.20 = 24,919.82/x
  3. Step 3: Cross multiply
    43,782.70x = 60,423.20 × 24,919.82
  4. Step 4: Simplify right side
    43,782.70x = 1,505,735,267.82
  5. Step 5: Solve for x
    x = 1,505,735,267.82/43,782.70
  6. Step 6: Final answer
    x = 34,391.10

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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.