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Finding the Fourth Proportional to 33,494.64, 46,213.14 and 21,564.88

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Solution

The fourth proportional to 33,494.64, 46,213.14 and 21,564.88 is: 29,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,494.64 : 46,213.14 = 21,564.88 : x
  2. Step 2: Convert to fraction form
    33,494.64/46,213.14 = 21,564.88/x
  3. Step 3: Cross multiply
    33,494.64x = 46,213.14 × 21,564.88
  4. Step 4: Simplify right side
    33,494.64x = 996,580,818.52
  5. Step 5: Solve for x
    x = 996,580,818.52/33,494.64
  6. Step 6: Final answer
    x = 29,753.44

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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.