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Finding the Fourth Proportional to 36,416, 54,632.64 and 11,792

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Solution

The fourth proportional to 36,416, 54,632.64 and 11,792 is: 17,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416 : 54,632.64 = 11,792 : x
  2. Step 2: Convert to fraction form
    36,416/54,632.64 = 11,792/x
  3. Step 3: Cross multiply
    36,416x = 54,632.64 × 11,792
  4. Step 4: Simplify right side
    36,416x = 644,228,090.88
  5. Step 5: Solve for x
    x = 644,228,090.88/36,416
  6. Step 6: Final answer
    x = 17,690.80

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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.