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Finding the Fourth Proportional to 31,830.46, 47,734.41 and 9,334.88

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Solution

The fourth proportional to 31,830.46, 47,734.41 and 9,334.88 is: 13,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.46 : 47,734.41 = 9,334.88 : x
  2. Step 2: Convert to fraction form
    31,830.46/47,734.41 = 9,334.88/x
  3. Step 3: Cross multiply
    31,830.46x = 47,734.41 × 9,334.88
  4. Step 4: Simplify right side
    31,830.46x = 445,594,989.22
  5. Step 5: Solve for x
    x = 445,594,989.22/31,830.46
  6. Step 6: Final answer
    x = 13,999.01

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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.