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Finding the Fourth Proportional to 50,805.63, 76,213.85 and 15,748.02

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Solution

The fourth proportional to 50,805.63, 76,213.85 and 15,748.02 is: 23,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,805.63 : 76,213.85 = 15,748.02 : x
  2. Step 2: Convert to fraction form
    50,805.63/76,213.85 = 15,748.02/x
  3. Step 3: Cross multiply
    50,805.63x = 76,213.85 × 15,748.02
  4. Step 4: Simplify right side
    50,805.63x = 1,200,217,155.34
  5. Step 5: Solve for x
    x = 1,200,217,155.34/50,805.63
  6. Step 6: Final answer
    x = 23,623.70

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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.