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Finding the Fourth Proportional to 30,822.75, 46,234.14 and 12,354.75

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Solution

The fourth proportional to 30,822.75, 46,234.14 and 12,354.75 is: 18,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.75 : 46,234.14 = 12,354.75 : x
  2. Step 2: Convert to fraction form
    30,822.75/46,234.14 = 12,354.75/x
  3. Step 3: Cross multiply
    30,822.75x = 46,234.14 × 12,354.75
  4. Step 4: Simplify right side
    30,822.75x = 571,211,241.17
  5. Step 5: Solve for x
    x = 571,211,241.17/30,822.75
  6. Step 6: Final answer
    x = 18,532.13

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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.