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Finding the Fourth Proportional to 30,906.86, 42,653.82 and 17,478.38

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Solution

The fourth proportional to 30,906.86, 42,653.82 and 17,478.38 is: 24,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.86 : 42,653.82 = 17,478.38 : x
  2. Step 2: Convert to fraction form
    30,906.86/42,653.82 = 17,478.38/x
  3. Step 3: Cross multiply
    30,906.86x = 42,653.82 × 17,478.38
  4. Step 4: Simplify right side
    30,906.86x = 745,519,674.41
  5. Step 5: Solve for x
    x = 745,519,674.41/30,906.86
  6. Step 6: Final answer
    x = 24,121.50

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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.