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Finding the Fourth Proportional to 30,992.92, 42,757.14 and 18,415.24

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Solution

The fourth proportional to 30,992.92, 42,757.14 and 18,415.24 is: 25,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.92 : 42,757.14 = 18,415.24 : x
  2. Step 2: Convert to fraction form
    30,992.92/42,757.14 = 18,415.24/x
  3. Step 3: Cross multiply
    30,992.92x = 42,757.14 × 18,415.24
  4. Step 4: Simplify right side
    30,992.92x = 787,382,994.81
  5. Step 5: Solve for x
    x = 787,382,994.81/30,992.92
  6. Step 6: Final answer
    x = 25,405.25

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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.