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Finding the Fourth Proportional to 30,902.60, 42,645.66 and 16,755.38

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Solution

The fourth proportional to 30,902.60, 42,645.66 and 16,755.38 is: 23,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.60 : 42,645.66 = 16,755.38 : x
  2. Step 2: Convert to fraction form
    30,902.60/42,645.66 = 16,755.38/x
  3. Step 3: Cross multiply
    30,902.60x = 42,645.66 × 16,755.38
  4. Step 4: Simplify right side
    30,902.60x = 714,544,238.65
  5. Step 5: Solve for x
    x = 714,544,238.65/30,902.60
  6. Step 6: Final answer
    x = 23,122.46

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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.