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Finding the Fourth Proportional to 50,584.87, 75,915.60 and 28,416.89

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Solution

The fourth proportional to 50,584.87, 75,915.60 and 28,416.89 is: 42,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,584.87 : 75,915.60 = 28,416.89 : x
  2. Step 2: Convert to fraction form
    50,584.87/75,915.60 = 28,416.89/x
  3. Step 3: Cross multiply
    50,584.87x = 75,915.60 × 28,416.89
  4. Step 4: Simplify right side
    50,584.87x = 2,157,285,112.40
  5. Step 5: Solve for x
    x = 2,157,285,112.40/50,584.87
  6. Step 6: Final answer
    x = 42,646.85

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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.