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Finding the Fourth Proportional to 30,564.54, 45,846.63 and 8,376.21

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Solution

The fourth proportional to 30,564.54, 45,846.63 and 8,376.21 is: 12,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.54 : 45,846.63 = 8,376.21 : x
  2. Step 2: Convert to fraction form
    30,564.54/45,846.63 = 8,376.21/x
  3. Step 3: Cross multiply
    30,564.54x = 45,846.63 × 8,376.21
  4. Step 4: Simplify right side
    30,564.54x = 384,021,000.67
  5. Step 5: Solve for x
    x = 384,021,000.67/30,564.54
  6. Step 6: Final answer
    x = 12,564.27

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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.