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Finding the Fourth Proportional to 30,242.91, 41,734.02 and 16,813.18

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Solution

The fourth proportional to 30,242.91, 41,734.02 and 16,813.18 is: 23,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.91 : 41,734.02 = 16,813.18 : x
  2. Step 2: Convert to fraction form
    30,242.91/41,734.02 = 16,813.18/x
  3. Step 3: Cross multiply
    30,242.91x = 41,734.02 × 16,813.18
  4. Step 4: Simplify right side
    30,242.91x = 701,681,590.38
  5. Step 5: Solve for x
    x = 701,681,590.38/30,242.91
  6. Step 6: Final answer
    x = 23,201.52

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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.