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Finding the Fourth Proportional to 31,956.40, 47,698.02 and 29,986.48

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Solution

The fourth proportional to 31,956.40, 47,698.02 and 29,986.48 is: 44,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.40 : 47,698.02 = 29,986.48 : x
  2. Step 2: Convert to fraction form
    31,956.40/47,698.02 = 29,986.48/x
  3. Step 3: Cross multiply
    31,956.40x = 47,698.02 × 29,986.48
  4. Step 4: Simplify right side
    31,956.40x = 1,430,295,722.77
  5. Step 5: Solve for x
    x = 1,430,295,722.77/31,956.40
  6. Step 6: Final answer
    x = 44,757.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.