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Finding the Fourth Proportional to 33,086.69, 49,630.04 and 9,713.13

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Solution

The fourth proportional to 33,086.69, 49,630.04 and 9,713.13 is: 14,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086.69 : 49,630.04 = 9,713.13 : x
  2. Step 2: Convert to fraction form
    33,086.69/49,630.04 = 9,713.13/x
  3. Step 3: Cross multiply
    33,086.69x = 49,630.04 × 9,713.13
  4. Step 4: Simplify right side
    33,086.69x = 482,063,030.43
  5. Step 5: Solve for x
    x = 482,063,030.43/33,086.69
  6. Step 6: Final answer
    x = 14,569.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.