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Finding the Fourth Proportional to 31,519.76, 47,283.96 and 9,334.96

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Solution

The fourth proportional to 31,519.76, 47,283.96 and 9,334.96 is: 14,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,519.76 : 47,283.96 = 9,334.96 : x
  2. Step 2: Convert to fraction form
    31,519.76/47,283.96 = 9,334.96/x
  3. Step 3: Cross multiply
    31,519.76x = 47,283.96 × 9,334.96
  4. Step 4: Simplify right side
    31,519.76x = 441,393,875.24
  5. Step 5: Solve for x
    x = 441,393,875.24/31,519.76
  6. Step 6: Final answer
    x = 14,003.72

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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.