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Finding the Fourth Proportional to 30,876, 42,614.64 and 17,628

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Solution

The fourth proportional to 30,876, 42,614.64 and 17,628 is: 24,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876 : 42,614.64 = 17,628 : x
  2. Step 2: Convert to fraction form
    30,876/42,614.64 = 17,628/x
  3. Step 3: Cross multiply
    30,876x = 42,614.64 × 17,628
  4. Step 4: Simplify right side
    30,876x = 751,210,873.92
  5. Step 5: Solve for x
    x = 751,210,873.92/30,876
  6. Step 6: Final answer
    x = 24,329.93

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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.