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Finding the Fourth Proportional to 31,751.90, 47,618.13 and 21,954.14

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Solution

The fourth proportional to 31,751.90, 47,618.13 and 21,954.14 is: 32,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.90 : 47,618.13 = 21,954.14 : x
  2. Step 2: Convert to fraction form
    31,751.90/47,618.13 = 21,954.14/x
  3. Step 3: Cross multiply
    31,751.90x = 47,618.13 × 21,954.14
  4. Step 4: Simplify right side
    31,751.90x = 1,045,415,211.60
  5. Step 5: Solve for x
    x = 1,045,415,211.60/31,751.90
  6. Step 6: Final answer
    x = 32,924.49

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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.