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Finding the Fourth Proportional to 31,952.46, 44,097.68 and 19,209.80

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Solution

The fourth proportional to 31,952.46, 44,097.68 and 19,209.80 is: 26,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.46 : 44,097.68 = 19,209.80 : x
  2. Step 2: Convert to fraction form
    31,952.46/44,097.68 = 19,209.80/x
  3. Step 3: Cross multiply
    31,952.46x = 44,097.68 × 19,209.80
  4. Step 4: Simplify right side
    31,952.46x = 847,107,613.26
  5. Step 5: Solve for x
    x = 847,107,613.26/31,952.46
  6. Step 6: Final answer
    x = 26,511.50

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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.