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Finding the Fourth Proportional to 31,034.28, 42,820.02 and 17,602.44

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Solution

The fourth proportional to 31,034.28, 42,820.02 and 17,602.44 is: 24,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.28 : 42,820.02 = 17,602.44 : x
  2. Step 2: Convert to fraction form
    31,034.28/42,820.02 = 17,602.44/x
  3. Step 3: Cross multiply
    31,034.28x = 42,820.02 × 17,602.44
  4. Step 4: Simplify right side
    31,034.28x = 753,736,832.85
  5. Step 5: Solve for x
    x = 753,736,832.85/31,034.28
  6. Step 6: Final answer
    x = 24,287.23

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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.