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Finding the Fourth Proportional to 37,017, 51,084.68 and 20,250

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Solution

The fourth proportional to 37,017, 51,084.68 and 20,250 is: 27,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,017 : 51,084.68 = 20,250 : x
  2. Step 2: Convert to fraction form
    37,017/51,084.68 = 20,250/x
  3. Step 3: Cross multiply
    37,017x = 51,084.68 × 20,250
  4. Step 4: Simplify right side
    37,017x = 1,034,464,668.75
  5. Step 5: Solve for x
    x = 1,034,464,668.75/37,017
  6. Step 6: Final answer
    x = 27,945.66

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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.