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Finding the Fourth Proportional to 50,769, 76,157.16 and 15,704.16

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Solution

The fourth proportional to 50,769, 76,157.16 and 15,704.16 is: 23,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769 : 76,157.16 = 15,704.16 : x
  2. Step 2: Convert to fraction form
    50,769/76,157.16 = 15,704.16/x
  3. Step 3: Cross multiply
    50,769x = 76,157.16 × 15,704.16
  4. Step 4: Simplify right side
    50,769x = 1,195,984,225.79
  5. Step 5: Solve for x
    x = 1,195,984,225.79/50,769
  6. Step 6: Final answer
    x = 23,557.37

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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.