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Finding the Fourth Proportional to 69,883.53, 96,441 and 38,054.16

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Solution

The fourth proportional to 69,883.53, 96,441 and 38,054.16 is: 52,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,883.53 : 96,441 = 38,054.16 : x
  2. Step 2: Convert to fraction form
    69,883.53/96,441 = 38,054.16/x
  3. Step 3: Cross multiply
    69,883.53x = 96,441 × 38,054.16
  4. Step 4: Simplify right side
    69,883.53x = 3,669,981,244.56
  5. Step 5: Solve for x
    x = 3,669,981,244.56/69,883.53
  6. Step 6: Final answer
    x = 52,515.68

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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.