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Finding the Fourth Proportional to 31,765.03, 47,629.32 and 12,031.00

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Solution

The fourth proportional to 31,765.03, 47,629.32 and 12,031.00 is: 18,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765.03 : 47,629.32 = 12,031.00 : x
  2. Step 2: Convert to fraction form
    31,765.03/47,629.32 = 12,031.00/x
  3. Step 3: Cross multiply
    31,765.03x = 47,629.32 × 12,031.00
  4. Step 4: Simplify right side
    31,765.03x = 573,028,184.73
  5. Step 5: Solve for x
    x = 573,028,184.73/31,765.03
  6. Step 6: Final answer
    x = 18,039.59

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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.