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Finding the Fourth Proportional to 33,417, 46,115.46 and 19,988.82

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Solution

The fourth proportional to 33,417, 46,115.46 and 19,988.82 is: 27,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,417 : 46,115.46 = 19,988.82 : x
  2. Step 2: Convert to fraction form
    33,417/46,115.46 = 19,988.82/x
  3. Step 3: Cross multiply
    33,417x = 46,115.46 × 19,988.82
  4. Step 4: Simplify right side
    33,417x = 921,793,629.16
  5. Step 5: Solve for x
    x = 921,793,629.16/33,417
  6. Step 6: Final answer
    x = 27,584.57

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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.