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Finding the Fourth Proportional to 30,520.67, 42,116.43 and 16,908.24

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Solution

The fourth proportional to 30,520.67, 42,116.43 and 16,908.24 is: 23,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,520.67 : 42,116.43 = 16,908.24 : x
  2. Step 2: Convert to fraction form
    30,520.67/42,116.43 = 16,908.24/x
  3. Step 3: Cross multiply
    30,520.67x = 42,116.43 × 16,908.24
  4. Step 4: Simplify right side
    30,520.67x = 712,114,706.38
  5. Step 5: Solve for x
    x = 712,114,706.38/30,520.67
  6. Step 6: Final answer
    x = 23,332.21

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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.