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Finding the Fourth Proportional to 30,050, 41,470.92 and 16,802

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Solution

The fourth proportional to 30,050, 41,470.92 and 16,802 is: 23,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,050 : 41,470.92 = 16,802 : x
  2. Step 2: Convert to fraction form
    30,050/41,470.92 = 16,802/x
  3. Step 3: Cross multiply
    30,050x = 41,470.92 × 16,802
  4. Step 4: Simplify right side
    30,050x = 696,794,397.84
  5. Step 5: Solve for x
    x = 696,794,397.84/30,050
  6. Step 6: Final answer
    x = 23,187.83

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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.