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Finding the Fourth Proportional to 30,229.40, 45,344.10 and 17,755.40

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Solution

The fourth proportional to 30,229.40, 45,344.10 and 17,755.40 is: 26,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.40 : 45,344.10 = 17,755.40 : x
  2. Step 2: Convert to fraction form
    30,229.40/45,344.10 = 17,755.40/x
  3. Step 3: Cross multiply
    30,229.40x = 45,344.10 × 17,755.40
  4. Step 4: Simplify right side
    30,229.40x = 805,102,633.14
  5. Step 5: Solve for x
    x = 805,102,633.14/30,229.40
  6. Step 6: Final answer
    x = 26,633.10

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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.