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Finding the Fourth Proportional to 30,711.90, 45,994.02 and 17,524.29

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Solution

The fourth proportional to 30,711.90, 45,994.02 and 17,524.29 is: 26,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.90 : 45,994.02 = 17,524.29 : x
  2. Step 2: Convert to fraction form
    30,711.90/45,994.02 = 17,524.29/x
  3. Step 3: Cross multiply
    30,711.90x = 45,994.02 × 17,524.29
  4. Step 4: Simplify right side
    30,711.90x = 806,012,544.75
  5. Step 5: Solve for x
    x = 806,012,544.75/30,711.90
  6. Step 6: Final answer
    x = 26,244.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.