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Finding the Fourth Proportional to 30,898.38, 42,645.96 and 17,469.84

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Solution

The fourth proportional to 30,898.38, 42,645.96 and 17,469.84 is: 24,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.38 : 42,645.96 = 17,469.84 : x
  2. Step 2: Convert to fraction form
    30,898.38/42,645.96 = 17,469.84/x
  3. Step 3: Cross multiply
    30,898.38x = 42,645.96 × 17,469.84
  4. Step 4: Simplify right side
    30,898.38x = 745,018,097.85
  5. Step 5: Solve for x
    x = 745,018,097.85/30,898.38
  6. Step 6: Final answer
    x = 24,111.88

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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.