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Finding the Fourth Proportional to 31,859.52, 47,789.27 and 9,672.81

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Solution

The fourth proportional to 31,859.52, 47,789.27 and 9,672.81 is: 14,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.52 : 47,789.27 = 9,672.81 : x
  2. Step 2: Convert to fraction form
    31,859.52/47,789.27 = 9,672.81/x
  3. Step 3: Cross multiply
    31,859.52x = 47,789.27 × 9,672.81
  4. Step 4: Simplify right side
    31,859.52x = 462,256,528.75
  5. Step 5: Solve for x
    x = 462,256,528.75/31,859.52
  6. Step 6: Final answer
    x = 14,509.21

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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.