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Finding the Fourth Proportional to 37,504, 51,756.48 and 22,600.96

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Solution

The fourth proportional to 37,504, 51,756.48 and 22,600.96 is: 31,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,504 : 51,756.48 = 22,600.96 : x
  2. Step 2: Convert to fraction form
    37,504/51,756.48 = 22,600.96/x
  3. Step 3: Cross multiply
    37,504x = 51,756.48 × 22,600.96
  4. Step 4: Simplify right side
    37,504x = 1,169,746,134.22
  5. Step 5: Solve for x
    x = 1,169,746,134.22/37,504
  6. Step 6: Final answer
    x = 31,189.90

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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.