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Finding the Fourth Proportional to 37,414.56, 51,642 and 23,259.36

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Solution

The fourth proportional to 37,414.56, 51,642 and 23,259.36 is: 32,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414.56 : 51,642 = 23,259.36 : x
  2. Step 2: Convert to fraction form
    37,414.56/51,642 = 23,259.36/x
  3. Step 3: Cross multiply
    37,414.56x = 51,642 × 23,259.36
  4. Step 4: Simplify right side
    37,414.56x = 1,201,159,869.12
  5. Step 5: Solve for x
    x = 1,201,159,869.12/37,414.56
  6. Step 6: Final answer
    x = 32,104.08

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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.