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Finding the Fourth Proportional to 30,596.30, 45,895.58 and 8,411.41

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Solution

The fourth proportional to 30,596.30, 45,895.58 and 8,411.41 is: 12,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.30 : 45,895.58 = 8,411.41 : x
  2. Step 2: Convert to fraction form
    30,596.30/45,895.58 = 8,411.41/x
  3. Step 3: Cross multiply
    30,596.30x = 45,895.58 × 8,411.41
  4. Step 4: Simplify right side
    30,596.30x = 386,046,540.57
  5. Step 5: Solve for x
    x = 386,046,540.57/30,596.30
  6. Step 6: Final answer
    x = 12,617.43

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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.