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Finding the Fourth Proportional to 31,131.50, 42,958.20 and 19,200.20

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Solution

The fourth proportional to 31,131.50, 42,958.20 and 19,200.20 is: 26,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,131.50 : 42,958.20 = 19,200.20 : x
  2. Step 2: Convert to fraction form
    31,131.50/42,958.20 = 19,200.20/x
  3. Step 3: Cross multiply
    31,131.50x = 42,958.20 × 19,200.20
  4. Step 4: Simplify right side
    31,131.50x = 824,806,031.64
  5. Step 5: Solve for x
    x = 824,806,031.64/31,131.50
  6. Step 6: Final answer
    x = 26,494.26

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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.