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Finding the Fourth Proportional to 31,923.69, 47,893.29 and 9,737.46

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Solution

The fourth proportional to 31,923.69, 47,893.29 and 9,737.46 is: 14,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,923.69 : 47,893.29 = 9,737.46 : x
  2. Step 2: Convert to fraction form
    31,923.69/47,893.29 = 9,737.46/x
  3. Step 3: Cross multiply
    31,923.69x = 47,893.29 × 9,737.46
  4. Step 4: Simplify right side
    31,923.69x = 466,358,995.64
  5. Step 5: Solve for x
    x = 466,358,995.64/31,923.69
  6. Step 6: Final answer
    x = 14,608.56

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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.