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Finding the Fourth Proportional to 31,865.76, 47,793.22 and 9,673.80

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Solution

The fourth proportional to 31,865.76, 47,793.22 and 9,673.80 is: 14,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,865.76 : 47,793.22 = 9,673.80 : x
  2. Step 2: Convert to fraction form
    31,865.76/47,793.22 = 9,673.80/x
  3. Step 3: Cross multiply
    31,865.76x = 47,793.22 × 9,673.80
  4. Step 4: Simplify right side
    31,865.76x = 462,342,051.64
  5. Step 5: Solve for x
    x = 462,342,051.64/31,865.76
  6. Step 6: Final answer
    x = 14,509.05

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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.