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Finding the Fourth Proportional to 50,805.76, 76,215.12 and 15,747.52

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Solution

The fourth proportional to 50,805.76, 76,215.12 and 15,747.52 is: 23,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,805.76 : 76,215.12 = 15,747.52 : x
  2. Step 2: Convert to fraction form
    50,805.76/76,215.12 = 15,747.52/x
  3. Step 3: Cross multiply
    50,805.76x = 76,215.12 × 15,747.52
  4. Step 4: Simplify right side
    50,805.76x = 1,200,199,126.50
  5. Step 5: Solve for x
    x = 1,200,199,126.50/50,805.76
  6. Step 6: Final answer
    x = 23,623.29

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1.5x scale

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.