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Finding the Fourth Proportional to 69,847.56, 96,392.10 and 39,633

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Solution

The fourth proportional to 69,847.56, 96,392.10 and 39,633 is: 54,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,847.56 : 96,392.10 = 39,633 : x
  2. Step 2: Convert to fraction form
    69,847.56/96,392.10 = 39,633/x
  3. Step 3: Cross multiply
    69,847.56x = 96,392.10 × 39,633
  4. Step 4: Simplify right side
    69,847.56x = 3,820,308,099.30
  5. Step 5: Solve for x
    x = 3,820,308,099.30/69,847.56
  6. Step 6: Final answer
    x = 54,694.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.