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Finding the Fourth Proportional to 30,950, 42,711 and 16,802.96

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Solution

The fourth proportional to 30,950, 42,711 and 16,802.96 is: 23,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950 : 42,711 = 16,802.96 : x
  2. Step 2: Convert to fraction form
    30,950/42,711 = 16,802.96/x
  3. Step 3: Cross multiply
    30,950x = 42,711 × 16,802.96
  4. Step 4: Simplify right side
    30,950x = 717,671,224.56
  5. Step 5: Solve for x
    x = 717,671,224.56/30,950
  6. Step 6: Final answer
    x = 23,188.08

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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.