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Finding the Fourth Proportional to 31,644, 43,668.40 and 17,496.16

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Solution

The fourth proportional to 31,644, 43,668.40 and 17,496.16 is: 24,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644 : 43,668.40 = 17,496.16 : x
  2. Step 2: Convert to fraction form
    31,644/43,668.40 = 17,496.16/x
  3. Step 3: Cross multiply
    31,644x = 43,668.40 × 17,496.16
  4. Step 4: Simplify right side
    31,644x = 764,029,313.34
  5. Step 5: Solve for x
    x = 764,029,313.34/31,644
  6. Step 6: Final answer
    x = 24,144.52

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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.