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Finding the Fourth Proportional to 65,533.89, 90,433.80 and 40,082.88

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Solution

The fourth proportional to 65,533.89, 90,433.80 and 40,082.88 is: 55,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,533.89 : 90,433.80 = 40,082.88 : x
  2. Step 2: Convert to fraction form
    65,533.89/90,433.80 = 40,082.88/x
  3. Step 3: Cross multiply
    65,533.89x = 90,433.80 × 40,082.88
  4. Step 4: Simplify right side
    65,533.89x = 3,624,847,153.34
  5. Step 5: Solve for x
    x = 3,624,847,153.34/65,533.89
  6. Step 6: Final answer
    x = 55,312.56

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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.