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Finding the Fourth Proportional to 30,167, 41,630.46 and 17,589.32

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Solution

The fourth proportional to 30,167, 41,630.46 and 17,589.32 is: 24,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167 : 41,630.46 = 17,589.32 : x
  2. Step 2: Convert to fraction form
    30,167/41,630.46 = 17,589.32/x
  3. Step 3: Cross multiply
    30,167x = 41,630.46 × 17,589.32
  4. Step 4: Simplify right side
    30,167x = 732,251,482.69
  5. Step 5: Solve for x
    x = 732,251,482.69/30,167
  6. Step 6: Final answer
    x = 24,273.26

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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.