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Finding the Fourth Proportional to 65,583.40, 98,474.10 and 52,396.60

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Solution

The fourth proportional to 65,583.40, 98,474.10 and 52,396.60 is: 78,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,583.40 : 98,474.10 = 52,396.60 : x
  2. Step 2: Convert to fraction form
    65,583.40/98,474.10 = 52,396.60/x
  3. Step 3: Cross multiply
    65,583.40x = 98,474.10 × 52,396.60
  4. Step 4: Simplify right side
    65,583.40x = 5,159,708,028.06
  5. Step 5: Solve for x
    x = 5,159,708,028.06/65,583.40
  6. Step 6: Final answer
    x = 78,673.99

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Why These Related Problems?

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