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Finding the Fourth Proportional to 31,962.40, 44,107.68 and 17,815.84

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Solution

The fourth proportional to 31,962.40, 44,107.68 and 17,815.84 is: 24,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,962.40 : 44,107.68 = 17,815.84 : x
  2. Step 2: Convert to fraction form
    31,962.40/44,107.68 = 17,815.84/x
  3. Step 3: Cross multiply
    31,962.40x = 44,107.68 × 17,815.84
  4. Step 4: Simplify right side
    31,962.40x = 785,815,369.65
  5. Step 5: Solve for x
    x = 785,815,369.65/31,962.40
  6. Step 6: Final answer
    x = 24,585.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.