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Finding the Fourth Proportional to 31,080.34, 42,876.14 and 21,012.24

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Solution

The fourth proportional to 31,080.34, 42,876.14 and 21,012.24 is: 28,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,080.34 : 42,876.14 = 21,012.24 : x
  2. Step 2: Convert to fraction form
    31,080.34/42,876.14 = 21,012.24/x
  3. Step 3: Cross multiply
    31,080.34x = 42,876.14 × 21,012.24
  4. Step 4: Simplify right side
    31,080.34x = 900,923,799.68
  5. Step 5: Solve for x
    x = 900,923,799.68/31,080.34
  6. Step 6: Final answer
    x = 28,986.93

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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.