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Finding the Fourth Proportional to 65,894.16, 98,743.50 and 34,634.64

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Solution

The fourth proportional to 65,894.16, 98,743.50 and 34,634.64 is: 51,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.16 : 98,743.50 = 34,634.64 : x
  2. Step 2: Convert to fraction form
    65,894.16/98,743.50 = 34,634.64/x
  3. Step 3: Cross multiply
    65,894.16x = 98,743.50 × 34,634.64
  4. Step 4: Simplify right side
    65,894.16x = 3,419,945,574.84
  5. Step 5: Solve for x
    x = 3,419,945,574.84/65,894.16
  6. Step 6: Final answer
    x = 51,900.59

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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.