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Finding the Fourth Proportional to 65,415.75, 98,159.07 and 50,653.50

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Solution

The fourth proportional to 65,415.75, 98,159.07 and 50,653.50 is: 76,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,415.75 : 98,159.07 = 50,653.50 : x
  2. Step 2: Convert to fraction form
    65,415.75/98,159.07 = 50,653.50/x
  3. Step 3: Cross multiply
    65,415.75x = 98,159.07 × 50,653.50
  4. Step 4: Simplify right side
    65,415.75x = 4,972,100,452.25
  5. Step 5: Solve for x
    x = 4,972,100,452.25/65,415.75
  6. Step 6: Final answer
    x = 76,007.70

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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.