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Finding the Fourth Proportional to 30,168.77, 41,632.91 and 16,740

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Solution

The fourth proportional to 30,168.77, 41,632.91 and 16,740 is: 23,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168.77 : 41,632.91 = 16,740 : x
  2. Step 2: Convert to fraction form
    30,168.77/41,632.91 = 16,740/x
  3. Step 3: Cross multiply
    30,168.77x = 41,632.91 × 16,740
  4. Step 4: Simplify right side
    30,168.77x = 696,934,829.70
  5. Step 5: Solve for x
    x = 696,934,829.70/30,168.77
  6. Step 6: Final answer
    x = 23,101.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.