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Finding the Fourth Proportional to 83,794.88, 125,662.08 and 24,614.72

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Solution

The fourth proportional to 83,794.88, 125,662.08 and 24,614.72 is: 36,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,794.88 : 125,662.08 = 24,614.72 : x
  2. Step 2: Convert to fraction form
    83,794.88/125,662.08 = 24,614.72/x
  3. Step 3: Cross multiply
    83,794.88x = 125,662.08 × 24,614.72
  4. Step 4: Simplify right side
    83,794.88x = 3,093,136,913.82
  5. Step 5: Solve for x
    x = 3,093,136,913.82/83,794.88
  6. Step 6: Final answer
    x = 36,913.20

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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.