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Finding the Fourth Proportional to 31,885.40, 47,806.44 and 17,855.07

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Solution

The fourth proportional to 31,885.40, 47,806.44 and 17,855.07 is: 26,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.40 : 47,806.44 = 17,855.07 : x
  2. Step 2: Convert to fraction form
    31,885.40/47,806.44 = 17,855.07/x
  3. Step 3: Cross multiply
    31,885.40x = 47,806.44 × 17,855.07
  4. Step 4: Simplify right side
    31,885.40x = 853,587,332.65
  5. Step 5: Solve for x
    x = 853,587,332.65/31,885.40
  6. Step 6: Final answer
    x = 26,770.48

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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.