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Finding the Fourth Proportional to 30,900.38, 42,639.90 and 17,469.77

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Solution

The fourth proportional to 30,900.38, 42,639.90 and 17,469.77 is: 24,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.38 : 42,639.90 = 17,469.77 : x
  2. Step 2: Convert to fraction form
    30,900.38/42,639.90 = 17,469.77/x
  3. Step 3: Cross multiply
    30,900.38x = 42,639.90 × 17,469.77
  4. Step 4: Simplify right side
    30,900.38x = 744,909,245.82
  5. Step 5: Solve for x
    x = 744,909,245.82/30,900.38
  6. Step 6: Final answer
    x = 24,106.80

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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.