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Finding the Fourth Proportional to 31,763.28, 47,639.12 and 12,035.34

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Solution

The fourth proportional to 31,763.28, 47,639.12 and 12,035.34 is: 18,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,763.28 : 47,639.12 = 12,035.34 : x
  2. Step 2: Convert to fraction form
    31,763.28/47,639.12 = 12,035.34/x
  3. Step 3: Cross multiply
    31,763.28x = 47,639.12 × 12,035.34
  4. Step 4: Simplify right side
    31,763.28x = 573,353,006.50
  5. Step 5: Solve for x
    x = 573,353,006.50/31,763.28
  6. Step 6: Final answer
    x = 18,050.81

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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.