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Finding the Fourth Proportional to 31,509.88, 47,265.21 and 9,323.73

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Solution

The fourth proportional to 31,509.88, 47,265.21 and 9,323.73 is: 13,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.88 : 47,265.21 = 9,323.73 : x
  2. Step 2: Convert to fraction form
    31,509.88/47,265.21 = 9,323.73/x
  3. Step 3: Cross multiply
    31,509.88x = 47,265.21 × 9,323.73
  4. Step 4: Simplify right side
    31,509.88x = 440,688,056.43
  5. Step 5: Solve for x
    x = 440,688,056.43/31,509.88
  6. Step 6: Final answer
    x = 13,985.71

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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.