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Finding the Fourth Proportional to 30,988.36, 42,770.14 and 18,410.68

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Solution

The fourth proportional to 30,988.36, 42,770.14 and 18,410.68 is: 25,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,988.36 : 42,770.14 = 18,410.68 : x
  2. Step 2: Convert to fraction form
    30,988.36/42,770.14 = 18,410.68/x
  3. Step 3: Cross multiply
    30,988.36x = 42,770.14 × 18,410.68
  4. Step 4: Simplify right side
    30,988.36x = 787,427,361.10
  5. Step 5: Solve for x
    x = 787,427,361.10/30,988.36
  6. Step 6: Final answer
    x = 25,410.42

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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.