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Finding the Fourth Proportional to 53,380.53, 73,668 and 29,509.42

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Solution

The fourth proportional to 53,380.53, 73,668 and 29,509.42 is: 40,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,380.53 : 73,668 = 29,509.42 : x
  2. Step 2: Convert to fraction form
    53,380.53/73,668 = 29,509.42/x
  3. Step 3: Cross multiply
    53,380.53x = 73,668 × 29,509.42
  4. Step 4: Simplify right side
    53,380.53x = 2,173,899,952.56
  5. Step 5: Solve for x
    x = 2,173,899,952.56/53,380.53
  6. Step 6: Final answer
    x = 40,724.59

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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.