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Finding the Fourth Proportional to 64,642.34, 89,191.90 and 37,414.20

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Solution

The fourth proportional to 64,642.34, 89,191.90 and 37,414.20 is: 51,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642.34 : 89,191.90 = 37,414.20 : x
  2. Step 2: Convert to fraction form
    64,642.34/89,191.90 = 37,414.20/x
  3. Step 3: Cross multiply
    64,642.34x = 89,191.90 × 37,414.20
  4. Step 4: Simplify right side
    64,642.34x = 3,337,043,584.98
  5. Step 5: Solve for x
    x = 3,337,043,584.98/64,642.34
  6. Step 6: Final answer
    x = 51,623.19

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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.