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Finding the Fourth Proportional to 30,051.69, 41,471.37 and 16,439.91

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Solution

The fourth proportional to 30,051.69, 41,471.37 and 16,439.91 is: 22,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,051.69 : 41,471.37 = 16,439.91 : x
  2. Step 2: Convert to fraction form
    30,051.69/41,471.37 = 16,439.91/x
  3. Step 3: Cross multiply
    30,051.69x = 41,471.37 × 16,439.91
  4. Step 4: Simplify right side
    30,051.69x = 681,785,590.38
  5. Step 5: Solve for x
    x = 681,785,590.38/30,051.69
  6. Step 6: Final answer
    x = 22,687.10

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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.