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Finding the Fourth Proportional to 65,682.94, 98,538.24 and 21,306.24

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Solution

The fourth proportional to 65,682.94, 98,538.24 and 21,306.24 is: 31,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682.94 : 98,538.24 = 21,306.24 : x
  2. Step 2: Convert to fraction form
    65,682.94/98,538.24 = 21,306.24/x
  3. Step 3: Cross multiply
    65,682.94x = 98,538.24 × 21,306.24
  4. Step 4: Simplify right side
    65,682.94x = 2,099,479,390.62
  5. Step 5: Solve for x
    x = 2,099,479,390.62/65,682.94
  6. Step 6: Final answer
    x = 31,963.85

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1.5x scale

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.