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Finding the Fourth Proportional to 37,684.71, 52,009.83 and 21,769.29

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Solution

The fourth proportional to 37,684.71, 52,009.83 and 21,769.29 is: 30,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684.71 : 52,009.83 = 21,769.29 : x
  2. Step 2: Convert to fraction form
    37,684.71/52,009.83 = 21,769.29/x
  3. Step 3: Cross multiply
    37,684.71x = 52,009.83 × 21,769.29
  4. Step 4: Simplify right side
    37,684.71x = 1,132,217,072.12
  5. Step 5: Solve for x
    x = 1,132,217,072.12/37,684.71
  6. Step 6: Final answer
    x = 30,044.47

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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.