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Finding the Fourth Proportional to 30,574.31, 42,188.39 and 17,824.46

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Solution

The fourth proportional to 30,574.31, 42,188.39 and 17,824.46 is: 24,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.31 : 42,188.39 = 17,824.46 : x
  2. Step 2: Convert to fraction form
    30,574.31/42,188.39 = 17,824.46/x
  3. Step 3: Cross multiply
    30,574.31x = 42,188.39 × 17,824.46
  4. Step 4: Simplify right side
    30,574.31x = 751,985,137.06
  5. Step 5: Solve for x
    x = 751,985,137.06/30,574.31
  6. Step 6: Final answer
    x = 24,595.33

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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.