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Finding the Fourth Proportional to 30,892.86, 42,606.77 and 18,947.79

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Solution

The fourth proportional to 30,892.86, 42,606.77 and 18,947.79 is: 26,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.86 : 42,606.77 = 18,947.79 : x
  2. Step 2: Convert to fraction form
    30,892.86/42,606.77 = 18,947.79/x
  3. Step 3: Cross multiply
    30,892.86x = 42,606.77 × 18,947.79
  4. Step 4: Simplify right side
    30,892.86x = 807,304,035.80
  5. Step 5: Solve for x
    x = 807,304,035.80/30,892.86
  6. Step 6: Final answer
    x = 26,132.38

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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.