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Finding the Fourth Proportional to 31,477.09, 47,262.17 and 21,012.31

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Solution

The fourth proportional to 31,477.09, 47,262.17 and 21,012.31 is: 31,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.09 : 47,262.17 = 21,012.31 : x
  2. Step 2: Convert to fraction form
    31,477.09/47,262.17 = 21,012.31/x
  3. Step 3: Cross multiply
    31,477.09x = 47,262.17 × 21,012.31
  4. Step 4: Simplify right side
    31,477.09x = 993,087,367.31
  5. Step 5: Solve for x
    x = 993,087,367.31/31,477.09
  6. Step 6: Final answer
    x = 31,549.53

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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.