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Finding the Fourth Proportional to 50,536, 75,820.74 and 15,475.96

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Solution

The fourth proportional to 50,536, 75,820.74 and 15,475.96 is: 23,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,536 : 75,820.74 = 15,475.96 : x
  2. Step 2: Convert to fraction form
    50,536/75,820.74 = 15,475.96/x
  3. Step 3: Cross multiply
    50,536x = 75,820.74 × 15,475.96
  4. Step 4: Simplify right side
    50,536x = 1,173,398,739.41
  5. Step 5: Solve for x
    x = 1,173,398,739.41/50,536
  6. Step 6: Final answer
    x = 23,219.07

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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.