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Finding the Fourth Proportional to 31,776.90, 47,684.18 and 12,072.03

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Solution

The fourth proportional to 31,776.90, 47,684.18 and 12,072.03 is: 18,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.90 : 47,684.18 = 12,072.03 : x
  2. Step 2: Convert to fraction form
    31,776.90/47,684.18 = 12,072.03/x
  3. Step 3: Cross multiply
    31,776.90x = 47,684.18 × 12,072.03
  4. Step 4: Simplify right side
    31,776.90x = 575,644,851.49
  5. Step 5: Solve for x
    x = 575,644,851.49/31,776.90
  6. Step 6: Final answer
    x = 18,115.20

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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.