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Finding the Fourth Proportional to 37,405.38, 51,638.13 and 23,262.78

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Solution

The fourth proportional to 37,405.38, 51,638.13 and 23,262.78 is: 32,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,405.38 : 51,638.13 = 23,262.78 : x
  2. Step 2: Convert to fraction form
    37,405.38/51,638.13 = 23,262.78/x
  3. Step 3: Cross multiply
    37,405.38x = 51,638.13 × 23,262.78
  4. Step 4: Simplify right side
    37,405.38x = 1,201,246,457.80
  5. Step 5: Solve for x
    x = 1,201,246,457.80/37,405.38
  6. Step 6: Final answer
    x = 32,114.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.