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Finding the Fourth Proportional to 30,662, 42,313.56 and 17,414

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Solution

The fourth proportional to 30,662, 42,313.56 and 17,414 is: 24,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662 : 42,313.56 = 17,414 : x
  2. Step 2: Convert to fraction form
    30,662/42,313.56 = 17,414/x
  3. Step 3: Cross multiply
    30,662x = 42,313.56 × 17,414
  4. Step 4: Simplify right side
    30,662x = 736,848,333.84
  5. Step 5: Solve for x
    x = 736,848,333.84/30,662
  6. Step 6: Final answer
    x = 24,031.32

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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.