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Finding the Fourth Proportional to 37,518, 51,775.80 and 22,614.96

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Solution

The fourth proportional to 37,518, 51,775.80 and 22,614.96 is: 31,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,518 : 51,775.80 = 22,614.96 : x
  2. Step 2: Convert to fraction form
    37,518/51,775.80 = 22,614.96/x
  3. Step 3: Cross multiply
    37,518x = 51,775.80 × 22,614.96
  4. Step 4: Simplify right side
    37,518x = 1,170,907,645.97
  5. Step 5: Solve for x
    x = 1,170,907,645.97/37,518
  6. Step 6: Final answer
    x = 31,209.22

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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.