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Finding the Fourth Proportional to 31,594.86, 47,406.04 and 18,447.23

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Solution

The fourth proportional to 31,594.86, 47,406.04 and 18,447.23 is: 27,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594.86 : 47,406.04 = 18,447.23 : x
  2. Step 2: Convert to fraction form
    31,594.86/47,406.04 = 18,447.23/x
  3. Step 3: Cross multiply
    31,594.86x = 47,406.04 × 18,447.23
  4. Step 4: Simplify right side
    31,594.86x = 874,510,195.67
  5. Step 5: Solve for x
    x = 874,510,195.67/31,594.86
  6. Step 6: Final answer
    x = 27,678.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.