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Finding the Fourth Proportional to 65,429.44, 98,144.18 and 21,059.66

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Solution

The fourth proportional to 65,429.44, 98,144.18 and 21,059.66 is: 31,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,429.44 : 98,144.18 = 21,059.66 : x
  2. Step 2: Convert to fraction form
    65,429.44/98,144.18 = 21,059.66/x
  3. Step 3: Cross multiply
    65,429.44x = 98,144.18 × 21,059.66
  4. Step 4: Simplify right side
    65,429.44x = 2,066,883,061.78
  5. Step 5: Solve for x
    x = 2,066,883,061.78/65,429.44
  6. Step 6: Final answer
    x = 31,589.50

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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.