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Finding the Fourth Proportional to 30,733.86, 42,414.84 and 17,124.04

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Solution

The fourth proportional to 30,733.86, 42,414.84 and 17,124.04 is: 23,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733.86 : 42,414.84 = 17,124.04 : x
  2. Step 2: Convert to fraction form
    30,733.86/42,414.84 = 17,124.04/x
  3. Step 3: Cross multiply
    30,733.86x = 42,414.84 × 17,124.04
  4. Step 4: Simplify right side
    30,733.86x = 726,313,416.75
  5. Step 5: Solve for x
    x = 726,313,416.75/30,733.86
  6. Step 6: Final answer
    x = 23,632.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.