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Finding the Fourth Proportional to 65,153.11, 97,748.16 and 33,586.31

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Solution

The fourth proportional to 65,153.11, 97,748.16 and 33,586.31 is: 50,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,153.11 : 97,748.16 = 33,586.31 : x
  2. Step 2: Convert to fraction form
    65,153.11/97,748.16 = 33,586.31/x
  3. Step 3: Cross multiply
    65,153.11x = 97,748.16 × 33,586.31
  4. Step 4: Simplify right side
    65,153.11x = 3,283,000,003.69
  5. Step 5: Solve for x
    x = 3,283,000,003.69/65,153.11
  6. Step 6: Final answer
    x = 50,389.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.