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Finding the Fourth Proportional to 65,201.34, 89,972.90 and 39,704.88

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Solution

The fourth proportional to 65,201.34, 89,972.90 and 39,704.88 is: 54,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.34 : 89,972.90 = 39,704.88 : x
  2. Step 2: Convert to fraction form
    65,201.34/89,972.90 = 39,704.88/x
  3. Step 3: Cross multiply
    65,201.34x = 89,972.90 × 39,704.88
  4. Step 4: Simplify right side
    65,201.34x = 3,572,363,597.19
  5. Step 5: Solve for x
    x = 3,572,363,597.19/65,201.34
  6. Step 6: Final answer
    x = 54,789.73

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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.