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Finding the Fourth Proportional to 31,860.27, 47,787.32 and 9,673.84

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Solution

The fourth proportional to 31,860.27, 47,787.32 and 9,673.84 is: 14,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860.27 : 47,787.32 = 9,673.84 : x
  2. Step 2: Convert to fraction form
    31,860.27/47,787.32 = 9,673.84/x
  3. Step 3: Cross multiply
    31,860.27x = 47,787.32 × 9,673.84
  4. Step 4: Simplify right side
    31,860.27x = 462,286,833.21
  5. Step 5: Solve for x
    x = 462,286,833.21/31,860.27
  6. Step 6: Final answer
    x = 14,509.82

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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.