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Finding the Fourth Proportional to 30,996.92, 46,484.50 and 10,214.84

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Solution

The fourth proportional to 30,996.92, 46,484.50 and 10,214.84 is: 15,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996.92 : 46,484.50 = 10,214.84 : x
  2. Step 2: Convert to fraction form
    30,996.92/46,484.50 = 10,214.84/x
  3. Step 3: Cross multiply
    30,996.92x = 46,484.50 × 10,214.84
  4. Step 4: Simplify right side
    30,996.92x = 474,831,729.98
  5. Step 5: Solve for x
    x = 474,831,729.98/30,996.92
  6. Step 6: Final answer
    x = 15,318.67

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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.