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Finding the Fourth Proportional to 30,605.40, 45,908.10 and 8,422.20

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Solution

The fourth proportional to 30,605.40, 45,908.10 and 8,422.20 is: 12,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,605.40 : 45,908.10 = 8,422.20 : x
  2. Step 2: Convert to fraction form
    30,605.40/45,908.10 = 8,422.20/x
  3. Step 3: Cross multiply
    30,605.40x = 45,908.10 × 8,422.20
  4. Step 4: Simplify right side
    30,605.40x = 386,647,199.82
  5. Step 5: Solve for x
    x = 386,647,199.82/30,605.40
  6. Step 6: Final answer
    x = 12,633.30

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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.