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Finding the Fourth Proportional to 33,713.65, 46,504.77 and 21,784

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Solution

The fourth proportional to 33,713.65, 46,504.77 and 21,784 is: 30,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,713.65 : 46,504.77 = 21,784 : x
  2. Step 2: Convert to fraction form
    33,713.65/46,504.77 = 21,784/x
  3. Step 3: Cross multiply
    33,713.65x = 46,504.77 × 21,784
  4. Step 4: Simplify right side
    33,713.65x = 1,013,059,909.68
  5. Step 5: Solve for x
    x = 1,013,059,909.68/33,713.65
  6. Step 6: Final answer
    x = 30,048.95

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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.