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Finding the Fourth Proportional to 64,642.12, 89,198.10 and 37,422.84

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Solution

The fourth proportional to 64,642.12, 89,198.10 and 37,422.84 is: 51,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642.12 : 89,198.10 = 37,422.84 : x
  2. Step 2: Convert to fraction form
    64,642.12/89,198.10 = 37,422.84/x
  3. Step 3: Cross multiply
    64,642.12x = 89,198.10 × 37,422.84
  4. Step 4: Simplify right side
    64,642.12x = 3,338,046,224.60
  5. Step 5: Solve for x
    x = 3,338,046,224.60/64,642.12
  6. Step 6: Final answer
    x = 51,638.87

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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.